The New York Road Runners is an organization that promotes running to bring youth together with a sense of community. The organization states that the average time that it takes its runners to complete a 5K race is 29 minutes with a standard deviation of 4 minutes. Assume that the times are normally distributed. 1. A single runner is chosen at random. What is the probability that the amount of time taken by that runner was less than 28 minutes? 2. You randomly select 100 runners. What is the probability that the average amount of time taken by the 100 runners was less than 28 minutes?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The New York Road Runners is an organization that promotes
running to bring youth together with a sense of community.
The organization states that the average time that it takes its
runners to complete a 5K race is 29 minutes with a standard
deviation of 4 minutes. Assume that the times are normally
distributed.
1. A single runner is chosen at random. What is the
probability that the amount of time taken by that runner
was less than 28 minutes?
2. You randomly select 100 runners. What is the probability
that the average amount of time taken by the 100 runners
was less than 28 minutes?
Transcribed Image Text:The New York Road Runners is an organization that promotes running to bring youth together with a sense of community. The organization states that the average time that it takes its runners to complete a 5K race is 29 minutes with a standard deviation of 4 minutes. Assume that the times are normally distributed. 1. A single runner is chosen at random. What is the probability that the amount of time taken by that runner was less than 28 minutes? 2. You randomly select 100 runners. What is the probability that the average amount of time taken by the 100 runners was less than 28 minutes?
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