Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 149 minutes with

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Suppose That A Category Of World Class Runners Are Known To Run A Marathon 26 Miles In An Average Of 149 Minutes With 1 (36.05 KiB) Viewed 107 times

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 149 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-n 149✔ 1.57✔ Part (b) Find the probability that the average of the sample will be between 147 and 152 minutes in these 49 marathons. (Round your answer to four decimal places.) 0.7325 x Part (c) Find the 70th percentile for the average f these 49 marathons. (Round your answer to two decimal places.) min Part (d) Find the median of the average running times. min