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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?
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Determine whether each of these proposed definitions is a valid recursive definition of a function f from the set of nonnegative integers to the set of integers. if f is not well defined state reason; If f is well defined, find a formula for f(n) ..
Transitive-Closure
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