Question 4 X is a random variable with mean 20 and variance 9. a) Write P(X s 15) in terms of the standard normal distribution and use the attached standard normal table to find P(X < 15). b) Write P(15 s X s 20) in terms of the standard normal distribution, and use the attached standard normal table to find P(15 s x s 20). c) If Y is a normal random variable with mean 2 and variance 12, what is the mean and variance of Z = 2X + Y + 3 ?

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