The time it takes a runner of a marathon in a certain city to fifinish the race (fifinish time) has a distribution that can be approximated by a Normal distribution with a mean of 195 minutes and a standard deviation of 25 minutes. The faster 2.5% classify automatically for next year’s marathon. What fifinish time qualififies athletes automatically for the next marathon?
The time it takes a runner of a marathon in a certain city to fifinish the race (fifinish time) has a distribution that can be approximated by a Normal distribution with a mean of 195 minutes and a standard deviation of 25 minutes. The faster 2.5% classify automatically for next year’s marathon. What fifinish time qualififies athletes automatically for the next marathon?
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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Question
The time it takes a runner of a marathon in a certain city to fifinish
the race (fifinish time) has a distribution that can be approximated by a Normal distribution with a mean of 195 minutes and a standard
deviation of 25 minutes. The faster 2.5% classify automatically for next year’s marathon. What fifinish time qualififies athletes automatically for the next marathon?
Expert Solution

Step 1
Given Data
Population Mean,μ = 195.0
Population Standard Deviation,σ = 25.0
Step by step
Solved in 2 steps

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