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 14 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.) (D0) O Part (b) Find the probability that the average of the sample will be between 142 and 145 minutes in these 49 marathons. (Round your answer to four decimal places.) O Part (c) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)

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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 14 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.)
Part (b)
Find the probability that the average of the sample will be between 142 and 145 minutes in these 49 marathons. (Round your answer to four decimal places.)
Part (c)
Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)
min
Transcribed Image Text: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 14 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.) Part (b) Find the probability that the average of the sample will be between 142 and 145 minutes in these 49 marathons. (Round your answer to four decimal places.) Part (c) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) min
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