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Math

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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 possess a normal distribution with a
mean of 450 seconds and a standard deviation of 50 seconds. Find the probability that a randomly
selected boy in secondary school can run the mile in less than 335 seconds.

  • Math -

    The mean is 450 seconds and the standard deviation is 50 seconds.
    Number of standard deviations below mean
    =(450-335)/50 = 2.3
    Since it is assumed to be normally distributed, look up the normal distribution table to get the probability of 2.3 standard deviations lower than the mean. (approx. 1%)

  • Math -

    ) 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 possess a normal distribution with a
    mean of 450 seconds and a standard deviation of 60 seconds. Find the probability that a randomly
    selected boy in secondary school can run the mile in less than 312 seconds.

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