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)
Additional information
The problem related to Statistics and it defines about calculation of percentage of number of bolts that not meet specifications with given mean and standard deviation in cm.
Word limit: 250