Find the pmf pn (n)

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Reference no: EM131081933

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 (n).

(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?

Reference no: EM131081933

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