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:
(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)
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.
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