uppose 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 16 mi onsider 49 of the races. et = the average of the 49 races. Give the distribution of X (Round your standard deviation to two decimal places.) B Part (b) Find the probability that the average of the sample wil be between 148 and 151 minutes in these 49 marathons. (Round your answer to four decimal places.) O Part (e) Find the 70h percentie for the average of these 49 marathons. (Round your answer to two decimai places)
uppose 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 16 mi onsider 49 of the races. et = the average of the 49 races. Give the distribution of X (Round your standard deviation to two decimal places.) B Part (b) Find the probability that the average of the sample wil be between 148 and 151 minutes in these 49 marathons. (Round your answer to four decimal places.) O Part (e) Find the 70h percentie for the average of these 49 marathons. (Round your answer to two decimai places)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please do all parts
Transcribed Image Text: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 16 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 Part (b)
Find the probability that the average of the sample will be between 148 and 151 minutes in these 49 marathons. (Round your answer to four decimal places.)
O Part (e)
Find the 70th percertle 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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