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Application of Binonomial Distribution

Can you please explain to me how to do this; I'm so lost.

"As a quality engineer working on the Rangdo production line, you have determined that the probability of producing a defective part is 6%. You want to develop a plan to monitor the quality of this line. Your idea is to take a sample of 20 parts every hour and determine the number of defectives. How many defectives do you need to find (or more) in a sample of 20 so that you will shut down the line. You want to be 95% sure that there is a real problem beyond random noise before you shut down the line."

Use Excel's binomial function to determine the answer.

Please explain step by step and how the answered is figured.

Solution Preview

Let X be the number of defective parts, from then question, X has binomial distribution with n=20 and p=0.06. Please note that x=0,1,2,...,20

Since we want to be 95% ...

Solution Summary

The solution gives detailed steps on applying the density function of binomal distributon. All formula and calculations are shown and explained.