Answered: The amounts of time per workout an…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of

minutes and a standard deviation of

minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than

minutes, (b) between

and

minutes, and (c) more than

minutes.

(a) The probability that a randomly selected athlete uses a stairclimber for less than

minutes is

(Round to four decimal places as needed.)

(b) The probability that a randomly selected athlete uses a stairclimber between

and

minutes is

(Round to four decimal places as needed.)

minutes is

(Round to four decimal places as needed.)

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.

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