The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.8 minutes and a standard deviation of 2.9 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. n USE SALT (a) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) (b) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.8 minutes and a standard deviation of 2.9
minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined
up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given
runway.
n USE SALT
(a) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?
(Round your answer to four decimal places.)
(b) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?
(Round your answer to four decimal places.)
(c) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be between 275 and 320
minutes? (Round your answer to four decimal places.)
Transcribed Image Text:The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.8 minutes and a standard deviation of 2.9 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. n USE SALT (a) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.) (b) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.) (c) What is the probability that for 34 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
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