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Suppose that 13% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) a. What is the (approximate) probability that X is at most 30? b. What is the (approximate) probability that X is less than 30? c. What is the (approximate) probability that X is between 15 and 25 (inclusive)?

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Answer:

a)0.8280

b)0.7691

c)0.4503

Step by step Explanation:

It was Given that 13% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).Each shaft is independent of the other and probability for non conforming is the same for each trial.

If X the denote the number among these that are nonconforming and can be reworked. Then

n =200 and

p = 0.13

Then, CHECK THE ATTACHMENT FOR DETAILED EXPLATION

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