4.23 An airline company runs a flight that has 10 seats. Each passenger who buys a ticket has a probability p of turning up for the flight. The gender of the passengers is not known until they turn up for a flight, and women buy tickets with the same frequency that men do. The pilot is eccentric, and will not fly unless at least two women turn up. (a) How many tickets should the airline sell to ensure that the expected number of passengers that turn up is greater than 10? (b) The airline sells 10 tickets. What is the expected number of passengers on the aircraft, given that it flies? (i.e. that at least two women turn up). Estimate this value with a simulation.
4.23 An airline company runs a flight that has 10 seats. Each passenger who buys a ticket has a probability p of turning up for the flight. The gender of the passengers is not known until they turn up for a flight, and women buy tickets with the same frequency that men do. The pilot is eccentric, and will not fly unless at least two women turn up. (a) How many tickets should the airline sell to ensure that the expected number of passengers that turn up is greater than 10? (b) The airline sells 10 tickets. What is the expected number of passengers on the aircraft, given that it flies? (i.e. that at least two women turn up). Estimate this value with a simulation.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Probability and Statistics for CS
Do both parts of this problem. For part (b) of this problem, simulate with
N = 105 trials and submit your answer as a graph (plot) of a
your code for this problem by pasting it in your
Transcribed Image Text:4.23 An airline company runs a flight that has 10 seats. Each passenger who buys a ticket has a probability p of turning up
for the flight. The gender of the passengers is not known until they turn up for a flight, and women buy tickets with the same
frequency that men do. The pilot is eccentric, and will not fly unless at least two women turn up.
(a) How many tickets should the airline sell to ensure that the expected number of passengers that turn up is greater than 10?
(b) The airline sells 10 tickets. What is the expected number of passengers on the aircraft, given that it flies? (i.e. that at least
two women turn up). Estimate this value with a simulation.
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