On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding passes. In a r

Question

On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding passes. In a random sample of eight passengers, what is the probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

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1 month 2021-08-15T04:58:40+00:00 1 Answers 1 views 0

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    2021-08-15T05:00:05+00:00

    Answer :

    0.2322

    Step-by-step explanation:

    Proportion, p of those who used e – ticket to get boarding pass = 112 / 280 = 0.4

    p = 0.4

    1 – p = 1 – 0.4 = 0.6

    Number of samples, n = 8

    P(x = 4)

    Using the binomial probability formula :

    P(x =x) = nCx * p^x * (1 – p)^(n – x)

    P(x = 4) = 8C4 * 0.4^4 * 0.6^4

    P(x = 4) = 70 * 0.0256 * 0.1296

    P(x = 4) = 0.2322432

    P(x = 4) = 0.2322

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