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17 March, 18:01

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.7 years, and standard deviation of 2.5 years. if you randomly purchase one item, what is the probability it will last longer than 8 years?

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  1. 17 March, 18:16
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    First let us calculate for the z score using the formula:

    z = (x - u) / s

    where x = 8, u is the mean = 12.7 years, s is the standard deviation

    z = (8 - 12.7) / 2.5

    z = - 1.88

    From the standard probability tables, the p value at z = - 1.88 is:

    P = 0.0301 = 3.01%
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