A binomial experiment is given. Decide whether you can use the normal distributi

Question

A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of full-time workers found that 62% go no work when they are sick. You randomly select 35 full-time workers and ask them whether they go work when they are sick. Select the correct answer below and, if necessary, f in the answer boxes within your choice. A. Yes, the mean is and the standard deviation is (Round to two decimal places as needed.) B. No, because np

Explanation / Answer

np = 35*0.62 = 21.7 > 5

nq = 35*(1-0.62) = 13.3 > 5

So we can use normal distribution.

Mean = np = 21.7

SD = sqrt(npq) = sqrt(35*0.62*(1-0.62) ) = 2.872

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