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 74% go to work when they are sick. You randomly select 30 full-time workers and ask them whether they go to work when they are sick. Select the correct answer below and, if necessary, fill in the answer boxes within your choice. A. Yes, the mean is Round to two decimal places as needed.) No, because np

Explanation / Answer

p = 0.74

n = 30

np = 30 * 0.74 = 22.2

nq = 30 * (1 - 0.74) = 7.8

Mean = np = 22.2

Standard deviation = sqrt (n * p * ( 1 - p)) = sqrt (30 * 0.74 * 0.26) = 2.40

So, Option-A) yes, the mean is 22.2 and Standard deviation is 2.4

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