# Question

With reference to Exercise 7.9, find the probability distribution of the random variable Z = (X – 1)2.

Exercise 7.9

If X has a hypergeometric distribution with M = 3, N = 6, and n = 2, find the probability distribution of Y, the number of successes minus the number of failures.

Exercise 7.9

If X has a hypergeometric distribution with M = 3, N = 6, and n = 2, find the probability distribution of Y, the number of successes minus the number of failures.

## Answer to relevant Questions

If X has a binomial distribution with n = 3 and θ = 1/3 , find the probability distributions of (a) Y = X / 1+ X ; (b) U = (X – 1)4. If the probability density of X is given by Where k is an appropriate constant, find the probability density of the random variable Y = 2X / 1+ 2X . Identify the distribution of Y, and thus determine the value of k. If the joint probability distribution of X1 and X2 is given by f(x1, x2) = x1x2 / 36 For x1 = 1, 2, 3 and x2 = 1, 2, 3, find (a) The probability distribution of X1X2; (b) The probability distribution of X1/ X2. Consider two random variables X and Y with the joint probability density Find the probability density of Z = XY2 by using Theorem 7.1 (as modified on page 216) to determine the joint probability density of Y and Z and then ...If the joint probability density of X and Y is given by And Z = √X2 + Y2, find (a) The distribution function of Z; (b) The probability density of Z.Post your question

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