A bus comes by every 15 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 15 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible. The mean of this distribution is   . The standard deviation is   . The probability that the person will wait more than 11 minutes is   .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A bus comes by every 15 minutes. The times from when a person arives at the busstop until the bus arrives follows a Uniform distribution from 0 to 15 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.

  1. The mean of this distribution is   .
  2. The standard deviation is   .
  3. The probability that the person will wait more than 11 minutes is   .
  4. Suppose that the person has already been waiting for 1.3 minutes. Find the probability that the person's total waiting time will be between 2.2 and 5.6 minutes.  
  5. 15% of all customers wait at least how long for the train? 
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