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Math Help - Probability Question

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    Probability Question

    Four percent of those who make an airline reservation do not show up for their flight. An airline sells 75 seats for a plane that has 73 seats (overbooking). What is the probability that every person who shows up will get a seat? [The answer is .807]
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    Quote Originally Posted by garrett88 View Post
    Four percent of those who make an airline reservation do not show up for their flight. An airline sells 75 seats for a plane that has 73 seats (overbooking). What is the probability that every person who shows up will get a seat? [The answer is .807]
    Let X be the random variable number of people who don't show up.

    X ~ Binomial(n = 75, p = 0.04)

    Calculate \Pr(X \geq 2) = 1 - \Pr(X \leq 1).


    Alternatively:

    Let Y be the random variable number of people who show up.

    Y ~ Binomial(n = 75, p = 0.96)

    Calculate \Pr(Y \leq 73) = 1 - \Pr(Y \geq 74).
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