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 approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, to explain why. A survey of full-time workers found that 67% go to work when they are sick. You randomly select 25 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 and the standard deviation is. B. No, because np

Explanation / Answer

We have been given params of Binomial distribution:

n = 25
p = .67

np = 25*.67 = 16.75 >10

So, the B and C are knocked off.

On A,
Mean = np = 16.75
Stdev = sqrt(npq) = sqrt(25*.67*.33) = 2.351

A is the right answer and above are the answers.

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