Question 1
A machine is set to pump cleanser into a process at the rate of 7 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 6.5 to 9.5 gallons per minute. What is the probability that at the time the machine is checked it is pumping more than 8.0 gallons per minute?
◦ .50
◦ .667
◦ .25
◦ .7692
Question 2
A machine is set to pump cleanser into a process at the rate of 10 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 10.0 to 13.0 gallons per minute. Would you expect the machine to pump more than 12.85 gallons per minute?
◦ Yes, since .05 is a high probability.
◦ No, since .95 is a high probability.
◦ Yes, since .95 is a high probability.
◦ No, since .05 is a low probability.
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