Question: . Suppose that X is a normal random variable, with its mean of 3 and its standard deviation of 2. (a) Suppose that David is

. Suppose that X is a normal random variable, with its mean of 3 and its standard deviation of 2.

(a) Suppose that David is going to randomly choose a sample of 10 observations from this population. What is the probability that the sample mean of X exceeds 3.2?

(b) If David increases the sample size to 50, what is the probability that the sample mean exceeds 3.2?

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