# Suppose 4

Suppose that 14% 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.

a) What is the probability that X is at most 30?

b) What is the probability that X is less than 30?

c) What is the probability that X is between 15 and 25 (inclusive)?

a) What is the probability that X is at most 30?

b) What is the probability that X is less than 30?

c) What is the probability that X is between 15 and 25 (inclusive)?

### Correct answer:

**Showing 1 comment:**

**Dr Math**

A - https://www.hackmath.net/en/calculator/normal-distribution?mean=28&sd=4.9071&above=&area=below&below=30.5&ll=&ul=&outsideLL=&outsideUL=&draw=Calculate

B - https://www.hackmath.net/en/calculator/normal-distribution?mean=74&sd=9.7&above=&below=&area=between&ll=64.3&ul=93.4&outsideLL=&outsideUL=&draw=Calculate

C - https://www.hackmath.net/en/calculator/normal-distribution?mean=28&sd=4.9071&above=&below=&area=between&ll=14.5&ul=25.5&outsideLL=&outsideUL=&draw=Calculate

Using continuity correction

B - https://www.hackmath.net/en/calculator/normal-distribution?mean=74&sd=9.7&above=&below=&area=between&ll=64.3&ul=93.4&outsideLL=&outsideUL=&draw=Calculate

C - https://www.hackmath.net/en/calculator/normal-distribution?mean=28&sd=4.9071&above=&below=&area=between&ll=14.5&ul=25.5&outsideLL=&outsideUL=&draw=Calculate

Using continuity correction

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