Probability distribution slideshare. Mar 21, 2014 · Poisson distribution assign.

It states that in a discrete probability distribution, the sum of all probabilities must be 1 and each probability must be between 0 and 1. Continuous Probability Distribution Bipul Kumar Sarker Lecturer BBA Professional Habibullah Bahar University College Chapter-04. (a). 2. 1 Solution: •The probability values here are less than one, which satisfies the condition: • However, the sum of probabilities which is not equal one. Aug 3, 2021 · The normal distribution is a continuous probability distribution defined by its probability density function. A random variable has a normal distribution if its density function is defined by a mean (μ) and standard deviation (σ). The normal distribution results from an infinite binomial expansion and is a continuous, bell-shaped distribution. Q. It discusses the uniform, normal, and exponential distributions. -The diameter of a fine metal rod may take a value of 40, 40. Note that the outcome probabilities must sum to 1 since occurrence of E results in exactly one outcome. Spin a 2 on the second spin. - The mean, variance, and standard deviation can be calculated from a probability distribution. x f (x)=P (X=x)=b (x;n,p) 0 1 2 n − 1 n Total 1. The key properties are that the probability of an event is constant and events are independent. Number of stones thrown successively at a mango on the tree until the mango in hit 5. Half the area under the curve is above the peak, and the other half is below it. It provides the formula for the hypergeometric distribution and compares it to the binomial distribution. 0. Binomial Distribution It is a discrete probability distribution. Changing σ increases or decreases the spread. For the normal distribution, it specifically covers Nov 29, 2017 · 1. Nov 10, 2012 · THEORETICAL PROBABILITY DISTRIBUTIONS In day to day life, we come across many random variables such as ------ 1. 718… and = 3. The key points are: - It gives the probability of x successes in n trials where the probability of Probability and Normal Distributions Same area P ( x < 15) = P ( z < 1) = Shaded area under the curve = 0. It includes questions on finding probabilities, means, variances Aug 14, 2021 · 35. (also called the complement of A) 19. Random Variables Example: A point P is chosen at random in a circle C with radius r. Feb 17, 2010 · 29 likes • 7,682 views. It has a geometric distribution where P (X=x) = p (1-p)^ (x-1). Properties Mean, median, and mode are equal Bell-shaped and symmetric about the mean Total area under the curve is equal to 1 As the curve extends farther from the mean, it gets closer to the x-axis but never touches it. It provides an example of a discrete random variable being the number of heads from 4 coin tosses. It is commonly used to approximate other distributions Mar 8, 2009 · 10. Jun 27, 2017 · A Probability Distribution is a way to shape the sample data to make predictions and draw conclusions about an entire population. (properties) 1. 2 likes • 2,642 views. May 8, 2020 · 1. Statistical computing2 Padma Metta. Dinesh Madaan. It provides examples and formulas for calculating probabilities and descriptive statistics for each distribution. The probability P (X ∈ B) is determined by calculating the probability of the set of response values s such that X (s) ∈ B, i. Transweb Global Inc. The area of this range is 0. Continuous variables can take any value in a specified interval falling within their plausible ranges. Probability Distribution There are two types of Probability Distribution; 1) Discrete Probability Distribution- the set of all possible values is at most a finite or a countable infinite number of possible values Poisson Distribution Binomial Distribution 1) Continuous Probability Distribution- takes on values at every point over a given Binomial probability distributions ppt. Statistics and Probability • PRINCESS P. The mean ( 𝑥 ) is equal the median (𝑥 ), and is also equal to the mode ( 𝑥 ). The probability of the first success on the xth trial is p(1-p)^(x-1). Download now. 5. Jun 5, 2015 · 2. Dec 20, 2017 · The normal distribution is a continuous probability distribution that is symmetric and bell-shaped. Normal Distribution A normal distribution is a continuous probability distribution for a random variable x. 7183 – μ Jun 7, 2020 · Solution : Since µ = 40 and σ = 6, X ̴ N (40,62) You need to find p (x < 32). Jan 17, 2015 · 1. - Key properties of a probability distribution are that each probability is between 0 and 1, and the sum of all probabilities equals 1. Jul 28, 2020 • Download as PPTX, PDF •. , P (X ∈ B) = P ( {s ∈ S : X (s) ∈ B}). Key characteristics of both distributions including their formulas are provided. Appling this to both sides of the inequality x<32. 05 3 0. It has the shape of a bell and can entirely be described by its mean and standard deviation. Chapter 4 part1-Probability Model. It provides an example of a probability distribution where the number of heads from coin tosses is the random variable. Download to read offline. When the sample size n is small compared Dec 15, 2016 · The exponential probability distribution is useful for describing the time it takes to complete random tasks. Mar 29, 2015 • Download as DOCX, PDF •. This document discusses several discrete probability distributions: 1. It is defined by its mean and standard deviation. It introduces the probability mass function Feb 28, 2024 · R. It helps finding all the possible values a random variable can take between the minimum and maximum statistically possible values. 2 2 0. Read less Mar 29, 2022 · Definition of probability, Binomial distribution, Normal distribution Poisson’s distribution, properties – problems . It was first discovered in 1733 by Abraham De Moivre and later applied by Laplace and Gauss. g. The spread of the curve depends on the standard deviation of the distribution. 36. throw of a die), together with their corresponding probabilities. 1 of 42. Chapter 3 part3-Toward Statistical Inference. For the binomial distribution to be Apr 17, 2014 · A Probability Distribution is a way to shape the sample data to make predictions and draw conclusions about an entire population. The document discusses binomial, Poisson, and hypergeometric probability distributions. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It refers to the frequency at which some events or experiments occur. To be able to use the standard normal table, standardize the x variable by subtracting the mean 40 then dividing by the standard deviation, 6. 1 like • 1,202 views. Apr 9, 2014 · Discrete Probability Distributions mandalina landy. 10 Values (x) of a random variable X. The binomial distribution is a discrete probability distribution used when there are only two possible outcomes for a random variable: success and failure. The document defines discrete random variables as random variables that can take on a finite or countable number of values. e. 1415…. It can model the time between events like vehicle arrivals at a toll booth, time to complete a survey, or distance between defects on a highway. 11. Simple Games Involving Probability Game: A fair die is rolled. Many real-world variables are approximately normally distributed. The document summarizes key concepts relating to three probability distributions: 1) The normal distribution describes variables that arise from the addition of small random effects and approximates the binomial distribution for large numbers of trials. 8413 15 μ = 10 P ( x < 15) μ = 10 σ = 5 Normal Distribution x 1 μ = 0 μ = 0 σ = 1 Standard Normal Distribution z P ( z < 1) 24. Mar 30, 2015 · Probability distribution. Apr 2, 2020 · The normal distribution is a continuous probability distribution that is used to model real-world phenomena like human heights, weights, and intelligence scores. Joint Probability distribution. 5 i. Binomial distribution - For experiments with a fixed number of trials, two possible outcomes, and constant probability of success. The Weibull distribution is a versatile probability distribution used in engineering, reliability analysis, and survival analysis to model lifetimes of various products and systems. The rest of the document discusses key properties like the 68-95-99. Jul 23, 2012 · The document shows the steps to calculate the mean of a probability distribution. Jan 13, 2022 · 8. Apr 9, 2024 · It then discusses key concepts related to random variables including: - Probability mass functions for discrete random variables - Examples of discrete and continuous random variables - Probability distributions and distribution functions - Calculating the mean, variance, and expectation of random variables - Properties of variance and how it Jan 21, 2020 · The document defines and explains the binomial distribution. It can be expressed as a fraction between 0 and 1, with the total number of possible outcomes as the denominator and number of favorable outcomes as the numerator. Mar 20, 2015 · The document provides information about binomial probability distributions including: - Binomial experiments have a fixed number (n) of independent trials with two possible outcomes and a constant probability (p) of success. Jun 26, 2015 · This document discusses key concepts in probability distributions including random variables, expected values, and common probability distributions such as binomial, hypergeometric, and Poisson. . This document discusses properties of discrete probability distributions. This document introduces the binomial probability distribution, which models experiments with a fixed number of trials (n), two possible outcomes per trial (success or failure), and a constant probability (p) of success on each trial. Probabilities can be expressed at fractions, decimals, or percents. Number of passengers getting into a bus at the bys stand . The distribution is defined by a probability density function that uses the mean time or Oct 19, 2021 · Follow. Assessing Probability There are three approaches to assessing Apr 13, 2014 · Chapter 6 part1- Introduction to Inference-Estimating with Confidence (Introd Chapter 5 part2- Sampling Distributions for Counts and Proportions (Binomial Chapter 5 part1- The Sampling Distribution of a Sample Mean. e (p < 0. Oct 3, 2016 · The Normal Distribution The Normal Distribution The equation of the theoretical normal distribution is given by the formula 2 2 2 1 2 x f x e where is the mean of the distribution, is the standard deviation, and e and are irrational constants (e = 2. In the early days, probability was associated with games of chance (gambling). Sep 17, 2020 · Probability and Distribution. 15 1 0. The probability distribution of X is given by: 10. Number of male children in a family having three children. Probability stays constant 4. DataminingTools Inc. The document discusses the Poisson probability distribution, which models random processes with discrete outcomes. DIPASUPIL • Special ScienceTeacher I PROBABILITY DISTRIBUTION If X is a discrete random variable, the probability distribution is called a probability mass function or pmf. 0625 2 P ( x )‏ Sum of spins, x. 3 6 0. The Normal Distribution X f (X) Changing μ shifts the distribution left or right. It provides examples and formulas for calculating mean, variance, and probability for each distribution. The number of successes X in n trials is a binomial random May 7, 2020 · 2. D. When an event is certain to happen then the probability of occurrence of that event is 1 and when it is certain that the event cannot happen then the probability of that event is 0. The entire area under the curve equals 1. Mar 21, 2014 · Poisson distribution assign. The key points are: - Random variables can Feb 17, 2010 · 5. A probability distribution is a table, a function or a graph that presents possible outcomes of a trial, say E (e. These functions allow calculating probabilities Jan 22, 2013 · 4. It gives the probability of getting x successes in n draws from a population of size N that contains a number of successes. It covers the binomial, Poisson, and normal distributions, and how to generate and analyze each using functions in R like dbinom (), rpois (), dnorm (), pnorm (), and qnorm (). May 1, 2020 · 1. Normal Distribution - Download as a PDF or view online for free. Then X is a (continuous) random variables with RX = [0, r]PCrXO. 3. Dec 24, 2020 · It then discusses key concepts related to random variables including: - Probability mass functions for discrete random variables - Examples of discrete and continuous random variables - Probability distributions and distribution functions - Calculating the mean, variance, and expectation of random variables - Properties of variance and how it Mar 25, 2016 · The document discusses the hypergeometric distribution, which describes the probability of successes in draws without replacement from a finite population. 0. Probability implies 'likelihood' or 'chance'. Sep 27, 2013 · So, sum of all probabilities of various events would always be 1. The normal distribution is symmetrical and bell-shaped. The binomial distribution specifically describes discrete data from Bernoulli processes. T distribution is used in estimation where normal distribution cannot be used to estimate population parameters. The normal probability distribution is bell-shaped. The document contains multiple choice, fill-in-the-blank, and true/false questions about binomial distributions and discrete probability distributions. µ = 0: The standard normal distribution has a mean equal to 0. Examples of applications include defective items in manufacturing and accidents. PROBABILITY DISTRIBUTIONS Part II: Probability Distributions for Continuous Variables 1. A distribution where only two outcomes are possible, such as success or failure, gain or Mar 5, 2024 · Probability is a measure of how likely an event is to occur. 6%. The geometric random variable (X) represents the number of trials until the first success. A valid probability distribution must have probabilities between 0 and 1 that sum to 1. Probability DistributionsIf X is discrete random variable, the function given by f (x) = P [X = x] for each x within the Feb 17, 2010 · The normal distribution is a continuous probability distribution defined by its probability density function. Examples are given to demonstrate how to calculate probabilities of various outcomes Oct 31, 2017 · The document presents information on the Poisson distribution: - It defines the Poisson distribution as a discrete probability distribution used for situations where events occur rarely and independently. The binomial formula calculates the probability of getting exactly x successes in n trials. Constructing a Discrete Probability Distribution Example continued : P (sum of 4) = 0. This function provides the probability for each value of the random variable. It is characterized by its shape parameter, which allows it to model a wide range of distributions, from exponential-like (for shape parameter = 1 Feb 21, 2022 · The probability distribution for a random variable describes how the probabilities are distributed over the values of the random variable. May 8, 2020 • Download as PPTX, PDF •. Sep 4, 2012 · Probability- General Rules 1. The document discusses the Fermi-Dirac distribution function, which describes the occupancy of energy levels by electrons in a solid. Aug 6, 2014 · 2. Probability refers to the likelihood of an event occurring. Mar 14, 2024 · The random variable X has a binomial distribution with parameters n (number of trials) and p (probability of success), and we write: X ~ Binomial (n,p) or X~b (x;n,p) 9. Oct 22, 2012 •. 3 Poisson Probability Distributions 5. 75 0. Jun 27, 2016 · Marjorie Rice. Let X be the distance of the point from the center of the circle. ruwanp2000. Chapter 4 part4- General Probability Rules. 1 of 41. This presentation discusses binomial probability distributions through the following key points: - It defines basic terminology related to random experiments, events, and variables. 00. Mar 11, 2020 · The document discusses constructing probability distributions for discrete random variables. 5625 0. It provides examples of how each concept is applied in pharmaceutical research and drug development, such as calculating the probability of adverse drug events, modeling drug response rates, and analyzing the number of medication errors at a pharmacy. Mar 16, 2012 · Theory of probability and probability distribution. 375 3 4 0. Aug 7, 2019 · It defines probability distributions as ways to model real-life uncertain events and make inferences from sample data. That makes the Bernoulli distribution the simplest kind of probability distribution that exists. (x-axis is an asymptote) The points at which the curvature changes Aug 13, 2019 · Binomial Experiment and P. It was developed by James Bernoulli in 1700 and describes the probability of success in a fixed number of binary trials where the probability of success is the same for each trial. 136; therefore, the probability that a randomly selected man weighs between 160 and 170 pounds is 13. It defines a probability distribution as a list of probabilities associated with each possible value of a random variable. Feb 7, 2017 · Feb 7, 2017 • Download as PPTX, PDF •. 7-3 Characteristics of a Normal Distribution The normal curve is bell-shaped and has a single peak at the exact center of the distribution. Normal Probability Distribution • A family of continuous probability distributions described by the normal equation is called the normal distribution • Normal distribution is defined by following equation 𝑦 = 𝑓 𝑥 = 1 𝜎√ (2𝜋) 𝑒 − 1 2𝜎2 (𝑥−μ)2 • Where, – e: a mathematical constant equal to 2. Apr 4, 2023 · If the number of trials in throwing a die increases from 100 to 10,000, the frequency distribution approaches the theoretical probability distribution of 1/6 for each of the six outcomes A probability distribution of a random variable can be displayed by a table or a graph or a mathematical formula. 25, 40. Anas Farooq Maniya AFM. - Properties of the Poisson distribution are discussed, including that it has one parameter (m), and the mean and variance are equal to m Feb 23, 2012 · The document provides information about binomial probability distributions including: - Binomial experiments have a fixed number (n) of independent trials with two possible outcomes and a constant probability (p) of success. Sep 14, 2018 · T-distribution is the most famous theoretical probability distribution in continuous family of distributions. Jan 27, 2016 · The probability distribution of discrete variables probabilities p (x) corresponding to a random variable x x P (x) 0 0. Probability. A geometric experiment involves independent trials with two possible outcomes (success/failure), where the probability of success (p) is constant across trials. A Poisson experiment has properties including a known average number of successes (μ) that is proportional to the region size, with extremely small regions having virtually zero probability of success. Geometric distribution - For experiments repeated until the first success. I. ) CABT Statistics & Probability – Grade 11 Lecture Presentation Sep 23, 2015 · Binomial distribution - For experiments with a fixed number of trials, two possible outcomes, and constant probability of success. Mar 4, 2024 · Properties of a Normal Probability Distribution 1. Jul 29, 2020 · Bernoulli distribution. 75 = 0. 6. Distribution plot of the weight of adult males The shaded region under the curve in this example represents the range from 160 and 170 pounds. The mean is equal to n (a/N) and the variance is equal to n (a/N) (1-a/N) (N-n)/ (N-1). It is used to model natural phenomena Jul 10, 2014 · Presentation Transcript. The curve is symmetric about its mean. 75 or 41 millimeter - Human weight may take values of 120 lb, 155 lb, or 165. 15 likes • 5,106 views. Marks Feb 17, 2020 · 4 continuous probability distributions. AI-enhanced description. Several examples of real-world applications are given such as disease occurrences, mutations, and telephone calls. Probability and Normal Distributions Example : The average on a statistics test was 78 with a standard Jan 25, 2016 · Discrete Probability Distribution Test questions slideshare. It asks the reader to calculate mean and standard deviation from a binomial distribution graph, classify random variables as discrete Dec 31, 2018 · Binomial Probability Distribution Its probability distribution function is given by: Graphically, the distribution is illustrated as follows: ( )( ) 1 , 0, 1, 2, n xxn P X x p p x n x − = = − = ÷ K 0 1 2 …. The probability of x successes is given by the binomial formula. dist (2,5,0. May 11, 2021 · 4. If the result is 2, 3, or 4, you win $1; if it is 5, you win $2; but if it is 1 or 6, you lose $3. May 12, 2017 · The probability of event A =. 5625 Each probability is between 0 and 1, and the sum of the probabilities is 1. 2 1 “ and” Spin a 2 on the first spin. n and the function is 0 elsewhere. 7, which is equal to the mean (μ) of the probability distribution. 1 of 14. History of Normal Distribution The normal distribution was first discovered by De Moivre (English Mathematician) in 1733 as limiting case of binomial distribution. Jul 13, 2019 · - A probability distribution specifies the possible values of a random variable and their probabilities. Suchithra Edakunni. 1) Properties The Condition for application of poison probabilities distribution are i) The variable x must be discrete random ii) The occurrence must be independent iii Nov 27, 2007 · Introduction Probability is the study of randomness and uncertainty. Oct 3, 2022 · 18 The Mean and The Variance of A Probability Distribution (4) Mean of Binomial Distribution: Mean of Hypergeometric Distribution: p n N a n Example: With reference to the example on page 97, where 5 of 20 tape recorders were defective, find the mean of the probability distribution of the number of defectives in a sample of 10 randomly chosen Feb 2, 2014 · 1. Feb 18, 2012 · Muhammad Yahaya. The document provides the equation for the Poisson distribution and examples of its applications May 10, 2019 · This is the special case of binomial probability distribution when the value of n is very large number (n > 50) and when the probability of success, p is very small i. Mar 7, 2024 · The document discusses key probability concepts including probability, binomial distribution, normal distribution, and Poisson distribution. Examples of continuous probability distributions: The normal and standard normal. These products are summed to obtain 1. Nadeem Uddin. T-distribution is the most famous theoretical probability distribution in continuous family of distributions. A binomial experiment has n repeated trials with two possible outcomes (success/failure), where the probability of success p remains constant from trial to trial. The pmf may be expressed in tabular or graphical form. This document contains slides about continuous probability distributions. Key Concept: the standard normal distribution is a specific normal distribution having the following three properties: 1. For discrete random variables, this is called a probability mass function. May 8, 2020 · Discrete probability distributions. The probability of an event is between 0 and 1. The document provides 64 probability distribution questions related to binomial, Poisson and other discrete probability distributions. Jul 31, 2012 · The document shows the steps to calculate the mean of a probability distribution. Joint Probability Distributions • Given two random variables X and Y that are defined on the same probability space, the Joint Distribution for X and Y defines the probability of events defined in terms of both X and Y. Read more. The normal distribution is a continuous probability distribution that is symmetric and bell-shaped. We can write the probability distribution of X in table as follows. Mar 25, 2016 · The Poisson distribution models the number of random events occurring in a fixed interval of time or space. Sep 12, 2019 · 11. 1- (probability(p) of getting less than 2 heads) this will give you the right side of the values, that is the probability of getting heads more then 2, and remember probability is always between 0 to1 ) Alternatively, we can also achieve this by Jun 2, 2023 · This document provides information about the binomial probability distribution, including its basics and terminology. 5,true) = 1- 0. Copy the link given below and Jan 27, 2016 · 1. Jun 29, 2015 · It then covers the probability density function and cumulative distribution function of the normal distribution. A random variable is a value that can vary in an experiment but whose Oct 4, 2023 · 1 of 57. For a discrete random variable, x, the probability distribution is defined by a probability mass function, denoted by f(x). In this case, only two values are possible (n = 0 for failure or n = 1 for success). Bernoulli distribution under the complementary Statistics syllabus of University of Calicut in BSc core of Mathematics, Physics & Computer Science. 1. Probability is a number between 0 and 1. 25 5 0. The probability of x events is (e^-μ μ^x)/x!, where μ is the mean number of events. Binomial Probability is calculated by following general formula- P (X) = n Cx px q (n-x) Where, n = number of trials x = number of success p = Probability of success q = Probability of failure = 1 – p. The binomial distribution assumes a finite number of trials, n. 0 ≤ pr (A) ≤ 1 2. The sum of the probabilities of all possible outcomes is 1 or 100%. Each has only 2 categories of outcomes 3. Independent trials If a procedure satisfies these 4 requirements, the distribution of the random variable x is called a Binomial Probability Distribution. The arithmetic mean, median, and mode of the distribution are equal and located at the peak. 8 Aug 28, 2016 · For discrete random variables, this is called a probability mass function. 01 02 The distribution of a random variable X is the collection of probabilities P (X ∈ B) of X belonging to various sets. Nov 19, 2021 · The binomial distribution describes the probability of success in a fixed number of yes/no trials, while the Poisson distribution models the occurrence of rare events. The normal distribution is symmetrical and bell-shaped with the mean, median, and mode Jun 27, 2017 · The Normal Distribution is a symmetrical probability distribution where most results are located in the middle and few are spread on both sides. The probability that an event does not occur is 1 minus the probability that it does occur. 5 = 0. May 5, 2015 · The Binomial, Poisson, and Normal Distributions. It provides examples of experiments that follow each distribution and how to calculate probabilities using the The hypergeometric distribution models sampling without replacement from a finite population. ppt. The Poisson distribution describes the probability of a number of events occurring in a fixed interval of time or space if these events occur with a known average rate and independently of the time since the last event. Jun 26, 2016 · The document shows the steps to calculate the mean of a probability distribution. Nov 26, 2017 · 4. - The binomial probability distribution gives the probability of getting exactly x successes in n trials. 4. For example, the probability of rolling a 4 on a standard 6-sided die is 1/6, as there is 1 face with a 4 and the total number of faces is 6. The sum of the probabilities of all possible outcomes in a sample space is 1. Success and failure are mutually exclusive; they cannot occur at the same time. 3 likes • 983 views. The probability that an energy level E is filled by an electron is given by the Fermi-Dirac distribution function f(E) = 1/(1+e^(E-EF)/kT), where EF is the Fermi level energy. The standard normal distribution refers to a normal distribution with a mean of 0 and standard deviation of 1. Oct 23, 2012 · Probability distribution notes by Dr D K Madan and Dr Amit Manocha. 𝑃 𝑥 < 32 = 𝑃 𝑥−𝜇 σ < 32−𝜇 σ = 𝑃 𝑍 < 32 Apr 14, 2019 · • A Bernoulli distribution is the probability distribution for a series of Bernoulli trials where there are only two possible outcomes . Poisson distribution - For counting the number of rare, independent events occurring in an interval. continuous probability distributions. A probability of 1 is equivalent to 100% certainty. 16 likes • 9,443 views. Dec 17, 2019 · For discrete random variables, this is called a probability mass function. n identical ( fixed # of) trials (Each repetition of the experiment) 2. 7 rule, using the standard normal distribution, and how to determine if a data set follows a normal distribution including using a normal probability plot. A table lists the possible values (X) of a random variable, their respective probabilities (P(x)), and the product of each x and P(x). Summary 2. Aug 13, 2019 · Recall: 5. 25 4 0. Basic Probability Concepts Probability – the chance that an uncertain event will occur (always between 0 and 1) Impossible Event – an event that has no chance of occurring (probability = 0) Certain Event – an event that is sure to occur (probability = 1) 3. • In the case of only two random variables, this is called a Nov 27, 2016 · 13. Mathematical / classical probability equation , The multiplicative law of probability when are not mutually exclusive, THE BINOMIAL DISTRIBUTION – with continuous data, The standard normal probability curve Read less Mar 24, 2013 · The Poisson distribution is used when the probability of an event is very small but the number of trials is large. Example continued q What is the probability of getting more than 2 heads with 5 coin flips? = 1- binom. Bell-shaped: The graph of the standard normal distribution is bell-shaped. of children 4. Statistical computing2. to ty fi dl me zq ue vy wg up