Question: PROBLEM 3.5. Let X Uniform(0, 3) be a number randomly chosen between 0 and 3. Define B as the event that round(X) is even. (a)

PROBLEM 3.5. Let X Uniform(0, 3) be a number randomly chosen between 0 and 3.

Define B as the event that round(X) is even.

(a) Find the mean value of X, E[X].

(b) Calculate Pr[B].

(c) Find the conditional mean E[X|B].

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