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7 December, 17:40

An airplane has 175 seats. Because some ticketed passengers do not show up, the airline sells 180 seats. The probability that a passenger will not show up is 5 %. Find the probability that exactly 178 passengers will show up and causing a shortage of three seats

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  1. 7 December, 19:37
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    The probability that exactly 178 passengers will show up and causing a shortage of three seats is 0.004364

    Explanation:

    X = number of passengers show up

    X follow binomial distribution with n = 180,

    p = 1 - 0.05

    = 0.95

    P (X = 178) = binom. dist (178,180,0.95,0)

    = 0.004364

    Therefore, The probability that exactly 178 passengers will show up and causing a shortage of three seats is 0.004364
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