The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 15 minutes and 2 1/2 hours

a. Define the random variable in words.
b. What is the probability of a patient waiting exactly 50 minutes?
c. What is the probability that a patient would have to wait between 45 minutes and 2 hours?
d. Compute the probability that a patient would have to wait over 2 hours.
e. Determine the expected waiting time and its standard deviation.


a. the length of time patients must wait
b. 0
c. .556
d. .222
e. 82.5 minutes, 38.97 minutes

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