2 Final Exam (1) True or False (a) If X(t) is wide sense stationary then Y (t) - 2X(t) is wide sense stationary (b) If A

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2 Final Exam 1 True Or False A If X T Is Wide Sense Stationary Then Y T 2x T Is Wide Sense Stationary B If A 1 (54.35 KiB) Viewed 30 times

2 Final Exam (1) True or False (a) If X(t) is wide sense stationary then Y (t) - 2X(t) is wide sense stationary (b) If A and B are independent then A and A+B are independent If the sample functions e(t, r) belong to a stochastic process consisting of the air tem- perature (measure in Fahrenheit) at the city airport taken at time t, then X(t) is a discrete value stochastic process (2) Integrated circuits are tested one after another. On each test the outcome is either a (accept) or r (reject). Assume that a circuit is acceptable with probability 0.8 and that the tested circuits are independent. Suppose we test three circuits. (i) determine the probability that all three circuits are rejected + (ii) determine the probability that the second tested circuit is accepted given that at least two of the three tested circuits are accepted (iii) determine the probability that the last two tested circuits are acceptable