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The production of pipes has a mean diameter of 3.25 inches and a standard deviation of...

The production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution is approximated by a normal distribution since approximately an equal number of parts are above or below average, and most parts are very close to the mean value. A part will be discarded is it has a diameter of greater than 3.5 inches or less than 3 inches. What proportion of parts are discarded from the production line?

a. 4.78%

b. 9.56%

c. 95%

Math   Statistics-And-Probability   
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Answer #1

Let "X" be parts that are discarded from the production line.

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.667 , TRUE)" & "=NORM.S.DIST(-1.667 , TRUE)" to find the probability.

Convert the answer to the percentage (multiply by 100)

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