Question: Select integrated circuits, test them in sequence until you find the first failure, and then stop. Let N be the number of tests. All tests

Select integrated circuits, test them in sequence until you find the first failure, and then stop. Let N be the number of tests. All tests are independent, with probability of failure p = 0. 1. consider the condition B = {N > 20}.
(a) Find the PMF PN(fl).
(b) Find PN|B(n), the conditional PMF of N given that there have been 20 consecutive tests without a failure.
(c) What is E[N|B], the expected number of tests given that there have been 20 consecutive tests without a failure?

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