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Question 5. 7pts (a) (1.5 pts) Let Z be standard normal. Find P (Z < 0.73) (b) (1.5pts) Let Z be standard normal. Find the

Question 5. 7pts

(a) (1.5 pts) Let Z be standard normal. Find P (Z < 0.73)

(b) (1.5pts) Let Z be standard normal. Find the number z0 such that P(Z > z0) = 0.1093

(c) (4 pts) A random variable X is normally distributed with unknown mean and variance 2. If P(X > 9.5) = 0.0039 and P(X < 8.5) = 0.0336. Find the mean and variance of the random variable X.

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