Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 143 minutes with a standard deviation of 13 minutes. Consider 49 of the races. Let X = the average of the 49 races. O Part (a) Give the distribution of X. (Round your standard deviation to two decimal places.) -O(0:0) O Part (b) Find the probability that the average of the sample will be between 141 and 144 minutes in these 49 marathons. (Round your answer to four decimal places.) O Part (c) Find the 80th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) min O Part (d) Find the median of the average running times. min

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