# Question

a. Find the mean and standard deviation of x for a binomial probability distribution n _ 200 with and p _ 0.3 .
b. Use a computer to construct the probability distribution and histogram for the random variable x of the binomial probability experiment with n _ 200 and p _ 0.3 .
c. Use a computer to randomly generate 200 samples of size 25 from a binomial probability distribution with n _ 200 and . Calculate the mean of each sampl
e.
d. Construct a histogram and find the mean and standard deviation of the 200 sample means.
e. Compare the probability distribution of x found in part b and the frequency distribution of found in part d. Does your information support the CLT? Explain.

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