Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 115 passengers. The probability that a passenger does not show up is 0.05, and the passengers behave independently. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that every passenger who shows up can take the flight? (b) What is the probability that the flight departs with at least one empty seat?

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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Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds
only 115 passengers. The probability that a passenger does not show up is 0.05, and the passengers behave independently. Round your
answers to four decimal places (e.g. 98.7654).
(a) What is the probability that every passenger who shows up can take the flight?
(b) What is the probability that the flight departs with at least one empty seat?
Transcribed Image Text:Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 115 passengers. The probability that a passenger does not show up is 0.05, and the passengers behave independently. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that every passenger who shows up can take the flight? (b) What is the probability that the flight departs with at least one empty seat?
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