A machine is set to pump cleanser into a process at the rate of 5 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 4.5 to 7.5 gallons per minute. Find the variance of the distribution.
A) 0.75
B) 0.33
C) 2.08
D) 12.00

Question

Quizplus · Accepted Answer

The variance of a uniform distribution over an interval [a, b] is given by the formula (b-a)^2 / 12. Here, a = 4.5 and b = 7.5, so the variance is (7.5 - 4.5)^2 / 12 = 0.75.

A Machine Is Set to Pump Cleanser into a Process