Question

2) A certain drug is made in pill form, each pill having a weight of approximately 700 milligrams. Suppose a pharmaceutical company makes these pills and rejects, on average, 10% of all the pills it produces because of improper weight. a) Suppose that we randomly select 1000 pills before they are analyzed. What is the probability more than 12% of them will be rejected? Use the NormaLDistribution to approximate this probability and show the z-scores, Draw a good support your answer. diagram to b) Suppose that we randomly select 5000 pills before they are analyzed. What is the probability more than 400 of them w ill be rejected? Use the Normal Distribution to aproximate this probability and shew.the zsers Draw a god detailddiagram to support your answer. c) Suppose that we randomly select 5000 pills before they are analyzed. What is the probability less than 550 of them will be rejected? Use the Normal Distribution to approximate this probability and show the z-scores. Draw a good detailed diagram to support your answer.

Answer 1

This problem is about understanding of Normal approximation to Binomial distribution whrw we consider the proportion of successes and the number of successes. Also to find the probability by using the area property of Normal curve.

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