Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 148 minutes with a standard deviation of 13minutes. 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.)x -O (D-0)O Part (b)Find the probability that the average of the sample will be between 146 and 151 minutes in these 49 marathons. (Round your answer to four decimal places.)O Part (c)Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)minO Part (d)Find the median of the average running times.min

We have given that. X~N( μ , ?^2 ) μ = 148, ? =13 , n= 49 Z-score =( x - μ )/? NOTE:-…

Answered: Suppose that a category of world class…

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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