b. Determine the probability that the next fight from the airline will require between 25 and 35 minutes to turn around. The probability is O. (Round to four decimal places as needed.) c. Determine the probability that the next flight from the airline will require more than 35 minutes to turn around. The probability is . (Round to four decimal places as needed.)

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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Aircraft turnaround time is defined as the time required to prepare an aircraft for its next fight after arriving at a terminal. Assume that an airline's turnaround time
follows a uniform distribution with a minimum time of 22 minutes and a maximum time of 53 minutes. Complete parts a through e.
a. Determine the probability that the next flight from the airline will require less than 25 minutes to turn around.
The probability is
(Round to four decimal places as needed.)
b. Determine the probability that the next fight from the airine will require between 25 and 35 minutes to turn around.
The probabilily is
(Round to four decimal places as needed.)
c. Determine the probability that the next flight from the airline will require more than 35 minutes to turn around.
The probability is .
(Round to four decimal places as needed.)
d. Calculate the mean and standard deviation for this distribution.
The mean of the given uniform distribution is u= D
(Type an integer or a decimal. Do not round.)
The standard deviation of the given uniform distribution is a =D
(Round to four decimal places as needed.)
e. The airline wants aircraft turnaround times to be less than 45 minutes 90% of the time. Is this goal being achieved?
The goal
being achieved, because the area under the distribution to the left of 45 is O
(Round to four decimal places as needed.)
Transcribed Image Text:Aircraft turnaround time is defined as the time required to prepare an aircraft for its next fight after arriving at a terminal. Assume that an airline's turnaround time follows a uniform distribution with a minimum time of 22 minutes and a maximum time of 53 minutes. Complete parts a through e. a. Determine the probability that the next flight from the airline will require less than 25 minutes to turn around. The probability is (Round to four decimal places as needed.) b. Determine the probability that the next fight from the airine will require between 25 and 35 minutes to turn around. The probabilily is (Round to four decimal places as needed.) c. Determine the probability that the next flight from the airline will require more than 35 minutes to turn around. The probability is . (Round to four decimal places as needed.) d. Calculate the mean and standard deviation for this distribution. The mean of the given uniform distribution is u= D (Type an integer or a decimal. Do not round.) The standard deviation of the given uniform distribution is a =D (Round to four decimal places as needed.) e. The airline wants aircraft turnaround times to be less than 45 minutes 90% of the time. Is this goal being achieved? The goal being achieved, because the area under the distribution to the left of 45 is O (Round to four decimal places as needed.)
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