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Math Help - Physical Fitness Probability

  1. #1
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    Physical Fitness Probability

    I need help please....

    A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to process a normal distribution with a mean of 440sec and a standard deviation of 50sec. The fitness association wants to recorgnize the fastest 10% of the boys with certificates of recorgnition. What time would the boys need to beat in order to earn a certificate of recorgnition from the fitness association?
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  2. #2
    Senior Member Twig's Avatar
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     \mu = 440 \; \mbox{ and } s = 50

    You need that  P(z>x) = 0.1 , where z is your random variable. Now we need to find x.

    Looking at normal distribution table we find the 10% quantile being approximatively 1.28 standard deviations.

    So we get,  \mu - 1.28 \cdot s = 440 - 1.28 \cdot 50 = 376 \mbox{ seconds}
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