Question: Problem 4 (a) Suppose X ~ N(1, 1). Find the number a such that P(lX 1| > a) = 0.05. (b) Let X1,X2, . .

Problem 4 (a) Suppose X ~ N(1, 1). Find the number a such that P(lX 1| > a) = 0.05. (b) Let X1,X2, . . .,X5 be independent normal random variables with mean 5 and standard deviation 5 (Xn ~ N (5, 25), where 25 = 52 is the variance of X\"). Find the distribution of their average value Y: %(X1+...+X5). (0) Suppose X N Binom(5000,0.3). Find P(X > 1520)

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