Calculation Of Percentage Of Bolts That Donâ€™t Meet Specifications

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Question

A manufacturer produces bolts that are specified to be between 2.25 and 2.35 cm in diameter. Production process produces bolts with diameters normally distributed with mean X cm and standard deviation s cm. What percentage of bolts will not meet specifications?

Parameters are calculated as follows:

(a) Calculated values of parameters:

X =

σ =

(b) First calculate probability of a random bolt being WITHIN the given tolerance interval

P(2.25 < x < 2.35)

(c) Then the probability of a bolt diameter being outside the tolerance interval is

P(x <2.25 or x > 2.35)

Summary

The question belongs to Statistics and it discusses about calculation of percentage of number of bolts that not meet specifications with given mean and standard deviation in cm.

Total Word Count 62

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