Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 142 minutes with a standard deviation of 13 minutes. Consider 49 of the races. Let X= the average...

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 142 minutes with a standard deviation of 13 minutes. Consider 49 of the races. Let X= the average of the 49 races. Give the distribution of X. (Round your standard deviation to two decimal places.)