3. [Maximum mark: 5] The times taken for a group of runners to complete a half-marathon are found to follow a normal distribution with mean and standard deviation o. Given that 24% of runners complete the race in less than 80 minutes and one in three runners take more than 120 minutes, find the values of u and o. [5]

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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(b) Find the initial acceleration of P.
[2]
3. [Maximum mark: 5]
The times taken for a group of runners to complete a half-marathon are found to follow a normal distribution with mean
μ and standard deviation o. Given that 24% of runners complete the race in less than 80 minutes and one in three
runners take more than 120 minutes, find the values of μ and o.
[5]
Transcribed Image Text:(b) Find the initial acceleration of P. [2] 3. [Maximum mark: 5] The times taken for a group of runners to complete a half-marathon are found to follow a normal distribution with mean μ and standard deviation o. Given that 24% of runners complete the race in less than 80 minutes and one in three runners take more than 120 minutes, find the values of μ and o. [5]
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