Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 12 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.) X-N ✔ 145✔ 1.71✔ Part (b) Find the probability that the average of the sample will be between 144 and 147 minutes in these 49 marathons. (Round your answer to four decimal places.) 5960 x Part (c) Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) 145.54 xmin

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 12 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.) X-N ✔ 145✔ 1.71✔ Part (b) Find the probability that the average of the sample will be between 144 and 147 minutes in these 49 marathons. (Round your answer to four decimal places.) 5960 x Part (c) Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) 145.54 xmin

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

100%

Find the probability that the average of the sample will be between 144 and 147 minutes in these 49 marathons. (Round your answer to four decimal places.)

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 145 minutes with a standard deviation of 12 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.)
X-N
145
1.71
)
Part (b)
Find the probability that the average of the sample will be between 144 and 147 minutes in these 49 marathons. (Round your answer to four decimal places.)
.5960
Part (c)
Find the 60th percentile for the average of these 49 marathons. (Round your answer to two decimal places.)
145.54
X min

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