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) 0.8706
B) 0.55
C) 3.5
D) 0.4933

Question

Quizplus · Accepted Answer

The uniform distribution has a constant probability over the interval. The length of the interval from 6.5 to 8.5 is 2. The length of the interval from 7.4 to 8.5 is 1.1. The probability is the length of the desired interval divided by the total interval: 1.1/2 = 0.55.

The Diameters of Ball Bearings Produced in a Manufacturing Process