A machine is set to pump cleanser into a process at the rate of 8 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 7.5 to 10.5 gallons per minute. Find the probability that
Between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute.
A)0.33
B)0.67
C)1
D)0

Question

Quizplus · Accepted Answer

The probability is calculated by finding the area under the uniform distribution curve between 8.0 and 9.0 gallons. The total interval is 3 gallons (10.5 - 7.5), and the interval of interest is 1 gallon (9.0 - 8.0). The probability is 1/3 or approximately 0.33.

A Machine Is Set to Pump Cleanser into a Process