In Problem 2.8.6, find PX|B(x), where the condition B = {X ? µX }. What are E[X|B] and…

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In Problem 2.8.6, find PX|B(x), where the condition B = {X ≥ µX }. What are E[X|B] and Var[X|B]?

Problem 2.8.6

The binomial random variable X has PMF

(a) Find the standard deviation of X.

(b) Find P  the probability that X is within one standard deviation of the expected value.