As reported in Runner’s World magazine, the times of the finishers in the New York City 10-km run are normally distributed with mean 60 minutes and standard deviation 9 minutes. a. Determine the percentage of finishers who have times between 55 and 75 minutes. b. Obtain and interpret the 70th percentile for the finishing times. c. Find the middle 60% of the finishing times.

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...
icon
Related questions
Question

As reported in Runner’s World magazine, the times of the finishers in the New York City 10-km run are normally distributed with mean 60 minutes and standard deviation 9 minutes.
a. Determine the percentage of finishers who have times between 55 and 75 minutes.
b. Obtain and interpret the 70th percentile for the finishing times.
c. Find the middle 60% of the finishing times.

d.  If a random sample of 15 Runner’s are selected find the probability that their mean finishing time is between 55 and 75 minutes.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON