A machine is set to pump cleanser into a process at the rate of 5 gallons per minute. Upon inspection, it islearned that the machine actually pumps cleanser at a rate described by the uniform distribution over theinterval 4.5 to 7.5 gallons per minute. Find the probability that between 5.0 gallons and 6.0 gallons are pumpedduring 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 [5.0, 6.0] within the uniform distribution [4.5, 7.5]. The length of the interval is 1.0, and the total length of the distribution is 3.0, so the probability is 1.0/3.0 = 0.33.

A Machine Is Set to Pump Cleanser into a Process