The diameters of ball bearings produced in a manufacturing process can be described using a uniform distribution over the interval 6.5 to 8.5 millimeters. What is the probability that a
Randomly selected ball bearing has a diameter greater than 7.4 millimeters?
A)3.5
B)0.8706
C)0.4933
D)0.55

Question

Quizplus · Accepted Answer

The uniform distribution is defined over the interval from 6.5 to 8.5 millimeters, making the total interval length 2 millimeters (8.5 - 6.5). The probability that a randomly selected ball bearing has a diameter greater than 7.4 millimeters can be found by calculating the length of the interval from 7.4 to 8.5 millimeters, which is 1.1 millimeters (8.5 - 7.4), and then dividing by the total interval length of 2 millimeters. Therefore, the probability is 1.1 / 2 = 0.55.

The Diameters of Ball Bearings Produced in a Manufacturing Process