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In a shopping centre, the waiting time for an elevator is found to be uniformly distributed between 1 and 5 minutes.
a. What is the probability density function for this uniform distribution?
b. What is the probability of waiting no more than 3 minutes?
c. What is the probability that the elevator arrives in the first 30 seconds?
d. What is the probability of a waiting time between 2 and 3 minutes?
e. What is the expected waiting time?
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