A Machine Is Set to Pump Cleanser into a Process

Multiple Choice

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