Q4: The probability mass function of a discrete random variable X is given by the followingtable:X123456P(X) 1/36 3/36 5/36 7/36 9/36 11/36Find1- Cumulative distribution function.2- Draw a graph of the probability mass function and cumulative distribution function.3- Mean and variance.4- Standard deviation.

Given that Probability mass function of X X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36…

Answered: Q4: The probability mass function of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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5. Let Y be a normally distributed random variable with mean = 0 and variance a=1. Use the method of transformation to find the probability distribution of U=Y². What is the name of this distribution?
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A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.088 1 0.331 2 0.409 3 0.172 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the random variable x's number values are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. adult(s) (Round to…
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please answer a,b

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Q4: The probability mass function of a discrete random variable X is given by the following table: X P(X) 1 2 3 4 5 6 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance.