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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. 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.
Transcribed Image Text:1. 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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