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Consider a plane with a maximum capacity of 50 passengers. Suppose it is known that on a particular the discrete random variable X (which counts the number of passengers who actually show up for the flight) has the following pmf: 45 46 47 48 49 0.05 0.1 0.12 0.14 0.25 a) With what probability will all passengers who show up for the flight have a seat on this flight? b) What is the expected number of passengers who show up for this flight? What is the associated variance? x P(X=x) 50 51 52 53 54 55 0.17 0.06 0.05 0.03 0.02 0.01

Consider a plane with a maximum capacity of 50 passengers. Suppose it is known that on a particular the discrete random variable X (which counts the number of passengers who actually show up for the flight) has the following pmf: 45 46 47 48 49 0.05 0.1 0.12 0.14 0.25 a) With what probability will all passengers who show up for the flight have a seat on this flight? b) What is the expected number of passengers who show up for this flight? What is the associated variance? x P(X=x) 50 51 52 53 54 55 0.17 0.06 0.05 0.03 0.02 0.01

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 32E
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Consider a plane with a maximum capacity of 50 passengers. Suppose it is known that on a particular the discrete random variable X (which counts the number of passengers who actually show up for the flight) has the following pmf: 45 0.05 49 50 51 52 53 54 46 47 48 0.1 0.12 0.14 0.25 0.17 0.06 0.05 0.03 0.02 55 0.01 x P(X = x) a) With what probability will all passengers who show up for the flight have a seat on this flight? b) What is the expected number of passengers who show up for this flight? What is the associated variance?
Transcribed Image Text:Consider a plane with a maximum capacity of 50 passengers. Suppose it is known that on a particular the discrete random variable X (which counts the number of passengers who actually show up for the flight) has the following pmf: 45 0.05 49 50 51 52 53 54 46 47 48 0.1 0.12 0.14 0.25 0.17 0.06 0.05 0.03 0.02 55 0.01 x P(X = x) a) With what probability will all passengers who show up for the flight have a seat on this flight? b) What is the expected number of passengers who show up for this flight? What is the associated variance?
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