Question

imagine a manufacture produces parts with mean length of 2 inches.

they toss any part with a length of 2.1 inches which is a 2 standard deviations above the mean

A) how small will they allow a part to be if it can be at the lower 25th percentile?

B) what percentage of parts are they tossing in total?

Answer #1

The length of the part mean length of 2 inches and standard deviation 0.05 . Thus assume

a)Let the 25th percentile is . Then

b) To find the probability,

So they are tossing percentage of parts .

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