The diameters of ball bearings produced in a manufacturing process can be described using a uniform distribution over the interval 3.5 to 5.5 millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than 4.6 millimeters?
A) 0.45
B) 0.8364
C) 2
D) 0.5111

Question

Quizplus · Accepted Answer

The uniform distribution over the interval 3.5 to 5.5 means the probability density is constant. The length of the interval is 5.5 - 3.5 = 2. The interval greater than 4.6 is from 4.6 to 5.5, which has a length of 5.5 - 4.6 = 0.9. The probability is the length of this interval divided by the total interval length: 0.9 / 2 = 0.45.

The Diameters of Ball Bearings Produced in a Manufacturing Process