Results 1 to 2 of 2

Math Help - Airline overbooking problem

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    70

    Airline overbooking problem

    I'm having some trouble with this one:

    An airline finds that 4 percent of the passengers that make reservations on a particular flight will not show up (not that each individual person has a 4 percent chance of showing up which is what is throwing me off). Consequently, their policy is to sell 100 reserved seats on a plane that only has 98 seats. Find the probability that ever person who shows up for the flight will find a seat available.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Random Variable's Avatar
    Joined
    May 2009
    Posts
    959
    Thanks
    3
    let X be the number of passengers that show up

    X follows a binomial distribution with n= 100 and p = 0.96 (q=0.04)

    we want  P(X \le 98) = 1- P(X \ge 99) =1 - \sum_{i=99}^{100} \binom{100}{i} (0.96)^{i}(0.04)^{i} \approx 0.913
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: January 12th 2012, 10:34 PM
  2. Probability of overbooking seats.
    Posted in the Statistics Forum
    Replies: 6
    Last Post: July 6th 2011, 08:36 PM
  3. Airline Report Problem
    Posted in the Statistics Forum
    Replies: 8
    Last Post: April 19th 2009, 09:50 PM
  4. [SOLVED] [SOLVED] Airline Passenger Seats/Overbooking Probability
    Posted in the Statistics Forum
    Replies: 5
    Last Post: April 17th 2008, 02:36 PM
  5. airline probability
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: October 23rd 2007, 02:41 PM

Search Tags


/mathhelpforum @mathhelpforum