Let a and b be events and let y be a random variable


Question: Let A and B be events and let Y be a random variable uniformly distributed on (0, 1). Suppose that, conditional on Y = p, A and B are independent, each with probability p. Find:

a) the conditional probability of A given that B occurs:

b) the conditional density of Y given that A occurs and B does not.

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Basic Statistics: Let a and b be events and let y be a random variable
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