The amounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a mean of 24minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stairclimber for​ (a) less than 20 ​minutes, (b) between 24 and 33 ​minutes, and​ (c) more than 40 minutes.       ​(a) The probability that a randomly selected athlete uses a stairclimber for less than 20minutes is. ​(Round to four decimal places as​ needed.) ​(b) The probability that a randomly selected athlete uses a stairclimber between 24 and 33 minutes is. ​(Round to four decimal places as​ needed.) ​(c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is . ​(Round to four decimal places as​ needed.)

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