A bus comes by every 10 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 10 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 7 minutes is d. Suppose that the person has already been waiting for 0.5 minutes. Find the probability that the person's total waiting time will be between 2.7 and 4.7 minutes e. 22% of all customers wait at least how long for the train? minutes.

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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A bus comes by every 10 minutes. The times from when a person arives at the busstop until the bus arrives
follows a Uniform distribution from 0 to 10 minutes. A person arrives at the bus stop at a randomly selected
time. Round to 4 decimal places where possible.
a. The mean of this distribution is
b. The standard deviation is
c. The probability
that the person will wait more than 7 minutes is
d. Suppose that the person has already been
waiting for 0.5 minutes. Find the probability that the person's total waiting time will be between 2.7 and
4.7 minutes
e. 22% of all customers wait at least how long for the train?
minutes.
Transcribed Image Text:A bus comes by every 10 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 10 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the person will wait more than 7 minutes is d. Suppose that the person has already been waiting for 0.5 minutes. Find the probability that the person's total waiting time will be between 2.7 and 4.7 minutes e. 22% of all customers wait at least how long for the train? minutes.
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