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-The diameter of ball bearings produced in a manufacturing process can be explained 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) 0.55
B) 0.8706
C) 3.5
D) 0.4933

Question

Quizplus · Accepted Answer

The uniform distribution is defined over the interval from 6.5 to 8.5 millimeters, making the total length of the interval 2 millimeters (8.5 - 6.5). The part of the interval greater than 7.4 millimeters extends from 7.4 to 8.5, which is 1.1 millimeters long (8.5 - 7.4). The probability is the length of the desired interval (1.1) divided by the total length of the interval (2), which equals 0.55.

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