A machine is set to pump cleanser into a process at the rate of 8 gallons per minute.

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.