Question

Suppose that a category of world class runners are known to run a marathon (26 miles)...

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 144 minutes with a standard deviation of 11 minutes. Consider 49 of the races.

Let

X

= the average of the 49 races.

  • Part (a)

    Give the distribution of

    X.

    (Round your standard deviation to two decimal places.)

    X

  • B. Find the probability that the runner will average between 142 and 147 minutes in these 49 marathons. (Round your answer to four decimal places.)

  • C. Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)
    min

  • D. Find the median of the average running times.
    min

    ~

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