Suppose X is a Normal random variable with with expected value 5 and standard deviation 5. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X< 4.0) 0.03593032x b) Find the probability P(X < 4) when n = 9 3.332045e-0 X c) Find the probability P(X < 4) when n = 36 1.721018e-2 x

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