Question 5 (4 points) The diameter of a shaft in an optical storage drive is normally distributed with mean 0.2500 inch

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Question 5 (4 points) The diameter of a shaft in an optical storage drive is normally distributed with mean 0.2500 inch

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Question 5 (4 points)
The diameter of a shaft in an optical storage drive is normally
distributed with mean 0.2500 inch and
standard deviation σ inch. If the specifications on the shaft are
0.2500 ± 0.0015 inch.
(a) Find the standard deviation σ if the probability of conforming
shifts to specifications is 0.91924.
(b) Find the probability that the sample average of 9 measurements
is above 0.25 inch.
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