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The amounts of time per workout an athlete uses a stairclimber are nomally distributed, with a mean of 21 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 16 minutes, (b) between 21 and 28 minutes, and (c) more than 30 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is (Round to four decimal places as needed) (b) The probability that a randomly selected athlete uses a stairclimber between 21 and 28 minutes is (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is (Round to four decimal places as needed.)

The amounts of time per workout an athlete uses a stairclimber are nomally distributed, with a mean of 21 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 16 minutes, (b) between 21 and 28 minutes, and (c) more than 30 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is (Round to four decimal places as needed) (b) The probability that a randomly selected athlete uses a stairclimber between 21 and 28 minutes is (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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 problem presented involves determining probabilities related to the amount of time an athlete uses a stairclimber, which follows a normal distribution. Here is the text transcription: --- The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 21 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for: (a) less than 16 minutes, (b) between 21 and 28 minutes, and (c) more than 30 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is _____ (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 21 and 28 minutes is _____ (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is _____ (Round to four decimal places as needed.) --- To solve these, one would typically use z-scores and standard normal distribution tables or software to find the probabilities for each scenario.
Transcribed Image Text:The problem presented involves determining probabilities related to the amount of time an athlete uses a stairclimber, which follows a normal distribution. Here is the text transcription: --- The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 21 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for: (a) less than 16 minutes, (b) between 21 and 28 minutes, and (c) more than 30 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is _____ (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 21 and 28 minutes is _____ (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is _____ (Round to four decimal places as needed.) --- To solve these, one would typically use z-scores and standard normal distribution tables or software to find the probabilities for each scenario.
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