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. 0.67

b. 0

c. 1

d. 0.33

High temperatures in a certain city for the month of August follow a uniform distribution over the interval 68 Fto90 F. What is the probability that the high temperature on a day in August exceeds73F?

a. 0.2273

b. 0.462

c. 0.7727

d. 0.04555

Suppose x is a random variable best described by a uniform probability distribution with c=10andd=90. FindP(x<42).

a.) .5

b) .04

c) 0.32

d) 0.4