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8. (10 points) Suppose that (26 miles) in an average of 145 minutes with a standard deviation of 14 minutes. Consider 49 randomly selected runners of this category in a particular race. Let X = the average of the 49 a category of world-class runners are known to run a marathon runners times (a) What does the central limit theorem say about the distribution of x? (b) Find the probability that the 49 (c) Would you be surprised if one of the runners ran the race in less than 135 minu runners average time will be between 142 and 146 minutes tes? Why? 7 (d) Would you be surprised if the average of the 49 runners times was less than 135 minutes Why?
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