Let A and B be random variables with the vector (A, B) uniformly distributed on the region R = {(a, b) : 0

Let A and B be random variables with the<br>vector (A, B) uniformly distributed on the<br>region R = {(a, b) : 0 < b < a < 1}.<br>(a) Find the joint probability density function<br>of (A, B), and find Pr(A+B <1)<br>(b) Find the marginal probability density<br>function f(a), and find E(A).<br>(c) Find the conditional probability density<br>function f(b|a)<br>

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Jun 11, 2022

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Let A and B be random variables with the vector (A, B) uniformly distributed on the region R = {(a, b) : 0

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