Please answer only the COMPARISON question for question 6 an

Please answer only the COMPARISON question for question 6 and 7.

Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of a success being 1/2 and n = 10. Either show work or explain how your answer was calculated. Use these formulas to do the hand calculations: Mean = np, Standard Deviation = squareroot npq Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of a success being 1/4 and n = 10. Write a comparison of these statistics to those from question 5 in a short paragraph of several complete sentences. Use these formulas to do the hand calculations: Mean = np, Standard Deviation = squareroot npq Calculate (by hand) the mean and standard deviation for the binomial distribution with the probability of a success being 1/2 and n = 10. Write a comparison of these statistics to those from question 6 in a short paragraph of several complete sentences, Use these formulas to do the hand calculations: Mean = np, Standard Deviation = squareroot npq

Solution

From the two questions 6 and 7, we verify that the mean of a binomial distribution is always greater than the variance. We also see that when n remains the same, but value of p reduces, than the mean and the standard deviation also decreases.