# Question: A Find the mean and standard deviation of x for

a. Find the mean and standard deviation of x for a binomial probability distribution with n = 16 and p = 0.5

b. Use a computer to construct the probability distribution and histogram for the binomial probability experiment with n _ 16 and p _ 0.5.

c. Use a computer to randomly generate 200 samples of size 25 from a binomial probability distribution with n _ 16 and p _ 0.5. Calculate the mean of each sample.

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 in part d. Does your information support the CLT? Explain.

b. Use a computer to construct the probability distribution and histogram for the binomial probability experiment with n _ 16 and p _ 0.5.

c. Use a computer to randomly generate 200 samples of size 25 from a binomial probability distribution with n _ 16 and p _ 0.5. Calculate the mean of each sample.

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 in part d. Does your information support the CLT? Explain.

## Answer to relevant Questions

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