3. Let X be a normal random variable with mean 50 and variance 12, Y be an exponential random variable with mean 0.3, an

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3 Let X Be A Normal Random Variable With Mean 50 And Variance 12 Y Be An Exponential Random Variable With Mean 0 3 An 1 (12.79 KiB) Viewed 28 times

3. Let X be a normal random variable with mean 50 and variance 12, Y be an exponential random variable with mean 0.3, and W be a Poisson random variable with the same rate parameter as Y. Answer the following questions: (a) (9p) Identify z such that P(X ≤ a) = P(W > 4). (b) (Sp) Identify y such that P (YS) = P(X> 48). (c) (10p) Identify minimal integer w such that P (WSw) 2 P (Y> 0.01).