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    sweeno15's Avatar
    sweeno15 Posts: 1, Reputation: 1
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    #1

    Apr 13, 2009, 08:24 AM
    Probability of Seat Bumping
    Here's the problem:

    Sky-Link Airlines has small planes that carry 10 passengers. Typically 10% of the people who buy tickets don't show up. They now sell tickets for 12 seats per flight.

    When too many passengers show up, the airline must bump the extra passengers. Bumping means that the passenger does not get a seat on that flight; that he or she will take the next flight; and that he or she will receive a voucher for future travel.

    Sky-Link Airlines bumps people randomly

    On one route, the average ticket cost is $300, and the voucher is worth $400

    Answer the following questions:
    1. Approximate by simulation the percentage of flights that Sky-Link Airlines has to bump one or more passengers (I need help figuring out a simulation)
    HelpinHere's Avatar
    HelpinHere Posts: 1,062, Reputation: 144
    Ultra Member
    		  
    #2

    Apr 13, 2009, 06:34 PM

    To figure it out, simply use the information you were given.

    On average, 10% don't show up.
    Subtract 10% from 12: 12 - (10%) = X
    The plane can hold 10: X - 10 = Z
    Turn Z into a percent, and you should have your answer.

    If you have more questions (such as what is the probability that two people who show up together get bumped, or how much money do they lose for the vouchers) simply plug the ZPercent into the respective equations.
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
    Uber Member
    		  
    #3

    Apr 14, 2009, 02:33 AM

    It looks like you're meant to solve by simulation, does that mean you need to write a program?
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