Let X be a random variable with PDF fx(x) = { X/4, 0, and

Chapter , Problem 18

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QUESTION:

Let X be a random variable with PDF fx(x) = { X/4, 0, and let A be the event {X 2}. if 1 < x ::; 3, otherwise, (a) Find E[X] , P(A) , fXIA(X) , and E[X I A] . (b) Let Y = X2 . Find E[Y] and var(Y) .

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QUESTION:

Let X be a random variable with PDF fx(x) = { X/4, 0, and let A be the event {X 2}. if 1 < x ::; 3, otherwise, (a) Find E[X] , P(A) , fXIA(X) , and E[X I A] . (b) Let Y = X2 . Find E[Y] and var(Y) .

ANSWER:

Step 1 of 3

Use the definition of conditional probability in .

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