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irline sells n= 125 tickets for a flight that holds only 120 passengers. The robability that a passenger does not show up is 0.10. Assume that the passeng ehave independently. ---- A CUH I

irline sells n= 125 tickets for a flight that holds only 120 passengers. The robability that a passenger does not show up is 0.10. Assume that the passeng ehave independently. ---- A CUH I

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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Exercise 5.1 Because all airline passengers do not show up for their reserved seat, an airline sells n = 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10. Assume that the passengers behave independently. A CUH I 1. Determine the probability mass function of the number of passengers (X) who show up for the flight. 2. Find the probability that the flight departs with empty seats. 3. Calculate the mean and variance of X.
Transcribed Image Text:Exercise 5.1 Because all airline passengers do not show up for their reserved seat, an airline sells n = 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10. Assume that the passengers behave independently. A CUH I 1. Determine the probability mass function of the number of passengers (X) who show up for the flight. 2. Find the probability that the flight departs with empty seats. 3. Calculate the mean and variance of X.
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