Question

In: Statistics and Probability

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 145 minutes with a standard deviation of 15 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~  

  • Part (b)

    Find the probability that the runner will average between 143 and 148 minutes in these 49 marathons. (Round your answer to four decimal places.)

  • Part (c)

    Find the 80th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)
      min

  • Part (d)

    Find the median of the average running times.
      min

Solutions

Expert Solution

Answer:

orchestra answered 2 years ago
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