22. 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 X₁ X2; (b) the probability distribution of X₁/X₂. 23. With reference to Exercise 22, find = (a) the joint distribution of Y₁ = X₁ + X₂ and Y₂ X₁ - X2; (b) the marginal distribution of Y₁.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question
22. 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 X₁ X₂;
(b) the probability distribution of X₁1/X₂.
23. With reference to Exercise 22, find
(a) the joint distribution of Y₁ = X₁ + X₂ and Y₂
X₁ - X₂;
(b) the marginal distribution of Y₁.
=
Transcribed Image Text:22. 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 X₁ X₂; (b) the probability distribution of X₁1/X₂. 23. With reference to Exercise 22, find (a) the joint distribution of Y₁ = X₁ + X₂ and Y₂ X₁ - X₂; (b) the marginal distribution of Y₁. =
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