Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes (uniform distribution). Letting the time unit be one minute, What is the mean? What is the standard deviation? Find P(125 ≤ x ≤ 135) (between 125 minutes and 135 minutes).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Suppose that an airline quotes a flight time of 2 hours, 10 minutes between two cities. Furthermore, suppose that historical flight records indicate that the actual flight time between the two cities, x, is uniformly distributed between 2 hours and 2 hours, 20 minutes (uniform distribution). Letting the time unit be one minute,

  1. What is the mean?
  2. What is the standard deviation?
  3. Find P(125 ≤ x ≤ 135) (between 125 minutes and 135 minutes).
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