Answered: The times of the finishers in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Q- goppy

(Do the calculations by hand and use R to get the values of z or probability)

The times of the finishers in the Toronto City 10km run are normally distributed with mean of 51 minutes and standard deviation o minutes. It is known that 80% of finishers have a finish time greater than 50 minutes. Let X denote the finishing time for finishers in this race.

Note:

Show all your work and the R codes/output when you use them.
You can use the functions pnorm( or gnorm in R to help you in solving the following parts.

question: find the variance of the finishing time. Provide the R code and output for the z-value or finding area under the standard normal curve.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution