Delta Airlines quotes a flight time of 3 hours, 5 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 20 minutes. (a) Show the graph of the probability density function for flight time. f(x) f(x) O O 3 20 1 10 1 20 f(x) 3 20 1 10 1 20 170 170 190 180 Flight Time in Minutes 180 190 Flight Time in Minutes min 200 (d) What is the expected flight time, in minutes? 200 X X 3 20 1 10 1 20 f(x) 3 20 1 10 1 20 170 (b) What is the probability that the flight will be no more than 5 minutes late? 170 (c) What is the probability that the flight will be more than 10 minutes late? 180 190 Flight Time in Minutes 190 180 Flight Time in Minutes 200 200 X X

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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Delta Airlines quotes a flight time of 3 hours, 5 minutes for a particular flight. Suppose we believe that actual flight times are
uniformly distributed between 3 hours and 3 hours, 20 minutes.
(a) Show the graph of the probability density function for flight time.
f(x)
f(x)
O
O
3
20
1
10
1
20
f(x)
3
20
1
10
1
20
170
170
190
180
Flight Time in Minutes
180
190
Flight Time in Minutes
min
200
(d) What is the expected flight time, in minutes?
200
X
X
3
20
1
10
1
20
f(x)
3
20
1
10
1
20
170
(b) What is the probability that the flight will be no more than 5 minutes late?
170
(c) What is the probability that the flight will be more than 10 minutes late?
190
180
Flight Time in Minutes
190
180
Flight Time in Minutes
200
200
X
X
Transcribed Image Text:Delta Airlines quotes a flight time of 3 hours, 5 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 20 minutes. (a) Show the graph of the probability density function for flight time. f(x) f(x) O O 3 20 1 10 1 20 f(x) 3 20 1 10 1 20 170 170 190 180 Flight Time in Minutes 180 190 Flight Time in Minutes min 200 (d) What is the expected flight time, in minutes? 200 X X 3 20 1 10 1 20 f(x) 3 20 1 10 1 20 170 (b) What is the probability that the flight will be no more than 5 minutes late? 170 (c) What is the probability that the flight will be more than 10 minutes late? 190 180 Flight Time in Minutes 190 180 Flight Time in Minutes 200 200 X X
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