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 nothing. ​(Round to four decimal places as​ needed.) ​(b) The probability that a randomly selected athlete uses a stairclimber between and minutes is nothing. ​(Round to four decimal places as​ needed.) ​(c) The probability that a randomly selected athlete uses a stairclimber for more than minutes is nothing.

Answer 1

Explanation:

Let S be the sample space, n(S) = 60

a) Let A be the event that the selected athlete uses

s less than a minute, n(A) = 59

The probability that a randomly selected athlete uses less a minute, P(A) = n(A)/n(S) = 59/60 = 0.9833

b) 1 - 0.9833 = 0.0167

c) 1 - 1 = 0