The diameter of ball bearings produced in a manufacturing process can be explained using a uniformdistribution over the interval 7.5 to 9.5 millimeters. What is the probability that a randomly selected ballbearing has a diameter greater than 8.6 millimeters?
A) 0.45
B) 0.9053
C) 4
D) 0.5059

Question

Quizplus · Accepted Answer

The uniform distribution is defined over the interval from 7.5 to 9.5 millimeters, making the total length of the interval 2 millimeters (9.5 - 7.5). The part of the interval greater than 8.6 millimeters extends from 8.6 to 9.5, which is 0.9 millimeters long (9.5 - 8.6). The probability is the length of the desired interval (0.9) divided by the total length of the interval (2), which equals 0.45.

The Diameter of Ball Bearings Produced in a Manufacturing Process