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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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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