f(x) 11:00 8 12 1 24 168 180 192 Flight Time in Minutes 204 X (d) What is the expected flight time, in minutes? min f(x) 811 12 1 24 168 (b) What is the probability that the flight will be no more than 6 minutes late? (c) What is the probability that the flight will be more than 12 minutes late? 180 192 Flight Time in Minutes 204 X

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Delta Airlines quotes a flight time of 3 hours, 6 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 24 minutes
(a) Show the graph of the probability density function for flight time.
f(x)
1
12
1
24
O
fix
1
alt
168
192
180
Flight Time in Minutes
204
DO
8
1
12
1
f(x)
1
12
168
192
180
Flight Time in Minutes
204
Transcribed Image Text:Delta Airlines quotes a flight time of 3 hours, 6 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 3 hours and 3 hours, 24 minutes (a) Show the graph of the probability density function for flight time. f(x) 1 12 1 24 O fix 1 alt 168 192 180 Flight Time in Minutes 204 DO 8 1 12 1 f(x) 1 12 168 192 180 Flight Time in Minutes 204
f(x)
11:00
8
12
1
24
168
180
192
Flight Time in Minutes
204
X
(d) What is the expected flight time, in minutes?
min
f(x)
118
12
1
M
24
168
(b) What is the probability that the flight will be no more than 6 minutes late?
(c) What is the probability that the flight will be more than 12 minutes late?
180
192
Flight Time in Minutes
204
X
Transcribed Image Text:f(x) 11:00 8 12 1 24 168 180 192 Flight Time in Minutes 204 X (d) What is the expected flight time, in minutes? min f(x) 118 12 1 M 24 168 (b) What is the probability that the flight will be no more than 6 minutes late? (c) What is the probability that the flight will be more than 12 minutes late? 180 192 Flight Time in Minutes 204 X
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