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Tchebysheff's theorem?

A manufacturer wasnts to advertise a mileage interval that excludes no more than 10% of the milage on a tire. Mean mileage is 25,000, standard deviation is 4000. What interval should I suggest?

1 Answer

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  • cidyah
    Lv 7
    10 years ago

    mean+k sd = 25000+4000k

    Mean -k sd = 25000-4000k

    1/k^2 =.10

    1/k^2=-0.10

    k^2 =1/..1

    k=3.1623

    (see the link)

    25000-4000(3.1623) = 12350.8

    25000+4000(3.1623) = 37649.2

    (12,350, 37,649)

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