The waiting time for a person in a clinic is X (in minutes), which is uniformly distributed over the interval [1,13]. (a) Calculate the probability that a person has to wait between 2 and 5 minutes. (b) What is the average waiting time for a person (in minutes)? (c) A person is considered to have waited for too long if this person waits 3 minutes above the average waiting time. Calculate the probability that a person will wait for too long.

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