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Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Which of the following graphs accurately represents the probability density function for fight time in minutes? 1. 2. 3. foxd 0.15 0.14 0.05+ fod 0.15 01f 0.05 fod F 0.15 01f 0.05 0.25 110 110 130 110 120 Minutes 120 Minutes 120 Minutes 130 130 130 140 140 Graph #1 b. What is the probability that the flight will be no more than 5 minutes late (to 2 decimals)? 140 c. What is the probability that the flight will be more than 10 minutes late (to 2 decimals)? 0.50 d. What is the expected flight time, in minutes?

Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Which of the following graphs accurately represents the probability density function for fight time in minutes? 1. 2. 3. foxd 0.15 0.14 0.05+ fod 0.15 01f 0.05 fod F 0.15 01f 0.05 0.25 110 110 130 110 120 Minutes 120 Minutes 120 Minutes 130 130 130 140 140 Graph #1 b. What is the probability that the flight will be no more than 5 minutes late (to 2 decimals)? 140 c. What is the probability that the flight will be more than 10 minutes late (to 2 decimals)? 0.50 d. What is the expected flight time, in minutes?

A First Course in Probability (10th Edition)
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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Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Which of the following graphs accurately represents the probability density function for flight time in minutes? 1. 2. 3. f(x) 0.15 0.1- 0.05 f(x) 0.15 0.1 0.05 fixd 0.15 0.1 0.05 110 110 110 130 120 Minutes 120 Minutes 120 Minutes 130 130 130 140 0.50 d. What is the expected flight time, in minutes? 140 140 X X Graph #1 b. What is the probability that the flight will be no more than 5 minutes late (to 2 decimals)? X 0.25 c. What is the probability that the flight will be more than 10 minutes late (to 2 decimals)?
Transcribed Image Text:Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. a. Which of the following graphs accurately represents the probability density function for flight time in minutes? 1. 2. 3. f(x) 0.15 0.1- 0.05 f(x) 0.15 0.1 0.05 fixd 0.15 0.1 0.05 110 110 110 130 120 Minutes 120 Minutes 120 Minutes 130 130 130 140 0.50 d. What is the expected flight time, in minutes? 140 140 X X Graph #1 b. What is the probability that the flight will be no more than 5 minutes late (to 2 decimals)? X 0.25 c. What is the probability that the flight will be more than 10 minutes late (to 2 decimals)?
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I understand all of this except: Why did the probability start at 125+5 instead of 120+5?

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