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 29 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.) 0.8333 b) The probability that a randomly selected athlete uses a stairclimber between 21 and 29 minutes is 1.3333 Round to four decimal places as needed.) c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is 1.5000 Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 29 minutes, and (c) more than 30 minutes.
.....
(a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is -0.8333
(Round to four decimal places as needed.)
(b) The probability that a randomly selected athlete uses a stairclimber between 21 and 29 minutes is 1.3333
(Round to four decimal places as needed.)
(c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is 1.5000
(Round to four decimal places as needed.)
Transcribed Image Text: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 29 minutes, and (c) more than 30 minutes. ..... (a) The probability that a randomly selected athlete uses a stairclimber for less than 16 minutes is -0.8333 (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 21 and 29 minutes is 1.3333 (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is 1.5000 (Round to four decimal places as needed.)
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