The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of22minutes and a standard deviation of6minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than17minutes, (b) between22and31minutes, and (c) more than30minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than17minutes isenter your response here.(Round to four decimal places as needed.)

Given X is normal Distributed with mean µ = 22.0 and standard deviation σ = 6.0 now will using…

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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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

enter your response here.

(Round to four decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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