Phoenix is a hub for a large airline. Suppose that on a particular day, 8000 passengers arrived in Phoenix on this airline. Phoenix was the final destination for 1300 of these passengers. The others were all connecting to flights to other cities. On this particular day, several Inbound flights were late, and 410 connecting passengers missed their connecting flight and were delayed in Phoenix. Of the 410 who were delayed, 95 were delayed overnight and had to spend the night in Phoenix. Consider the chance experiment of choosing a passenger at random from these 8000 passengers. (Round your answers to three decimal places.) (a) Compute the probability that the selected passenger had Phoenix as a final destination. (b) Compute the probability that the selected passenger did not have Phoenix as a final destination. (c) Compute the probability that the selected passenger was connecting and missed the connecting flight.

Phoenix is a hub for a large airline. Suppose that on a particular day, 8000 passengers arrived in Phoenix on this airline. Phoenix was the final destination for 1300 of these passengers. The others were all connecting to flights to other cities. On this particular day, several Inbound flights were late, and 410 connecting passengers missed their connecting flight and were delayed in Phoenix. Of the 410 who were delayed, 95 were delayed overnight and had to spend the night in Phoenix. Consider the chance experiment of choosing a passenger at random from these 8000 passengers. (Round your answers to three decimal places.) (a) Compute the probability that the selected passenger had Phoenix as a final destination. (b) Compute the probability that the selected passenger did not have Phoenix as a final destination. (c) Compute the probability that the selected passenger was connecting and missed the connecting flight.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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Question

6.2.3

Phoenix is a hub for a large airline. Suppose that on a particular day, 8000 passengers arrived in Phoenix on this airline. Phoenix was the final destination for 1300 of these passengers.
The others were all connecting to flights to other cities. On this particular day, several inbound flights were late, and 410 connecting passengers missed their connecting flight and were
delayed in Phoenix. Of the 410 who were delayed, 95 were delayed overnight and had to spend the night in Phoenix. Consider the chance experiment of choosing a passenger at random
from these 8000 passengers. (Round your answers to three decimal places.)
(a) Compute the probability that the selected passenger had Phoenix as a final destination.
(b) Compute the probability that the selected passenger did not have Phoenix as a final destination.
(c) Compute the probability that the selected passenger was connecting and missed the connecting flight.
(d) Compute the probability that the selected passenger was a connecting passenger and did not miss the connecting flight.
(e) Compute the probability that the selected passenger either had Phoenix as a final destination or was delayed overnight in Phoenix.
(f) An independent customer satisfaction survey is planned. The company carrying out the survey plans to contact 50 passengers selected at random from the 8000 passengers who
arrived in Phoenix on the day described above. The airline knows that the survey results will not be favorable if too many people who were delayed overnight are included in the
survey. Should the airline be worried? Explain whether or not you think the airline should be worried, using relevant probabilities to support your answer.
The airline ---Select--- be worried because the probability someone was delayed overnight is

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