A machine is set to pump cleanser into a process at the rate of 9 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 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.
A) 0.33
B) 0.67
C) 0
D) 1

Question

Quizplus · Accepted Answer

The probability is calculated by finding the length of the interval [9.0, 10.0] within the uniform distribution [8.5, 11.5]. The interval length is 1.0, and the total distribution length is 3.0, so the probability is 1.0/3.0 = 0.33.

A Machine Is Set to Pump Cleanser into a Process