Statistics

The mean length of the first 20 space shuttle flights was about 7 days with a standard deviation of about 2 days. Using Chebychev's theorem, at least how many of the flights lasted between 3 and 11 days.

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  1. n = 20
    µ = 7
    σ = 2

    (7-2(2), 7+ 2(2)

    (µ-2σ, µ + 2σ)

    k = 2

    1-1/k^2

    1- 1/(2)^2

    1-1/4

    (4-1)/4 = 3/4 = 0.75

    at least (20)(.75) = 15 shuttle flights lasted between 3 days and 11 days.

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