Question

Assume that the time it takes the housekeeping crew of a local hotel to clean a room varies uniformly between 28 and 45 minutes.

Calculate the probability that the next room will require less than 32 minutes to clean. (round to two decimal places) Answer

Calculate the probability that the next room will require more than 30 minutes to clean. (round to two decimal places) Answer

Calculate the mean. (round to two decimal places) Answer

Calculate standard deviation of the distribution. (round to two decimal places) Answer

Answer 1

Answer Date: 28/11/2019 The probability that the next room will require less than 32 minutes to clean is, p(x < 32) = 7-a) (x-a) - (32 – 28) (45 - 28) = 0.2353 = 0.24 The probability that the next room will require less than 32 minutes to clean is 0.24

The probability that the next room will require more than 30 minutes to clean is, p(x > 30) - (6-x) (b-a) _ (45 – 30) (45 – 28) = 0.8824 = 0.88 The probability that the next room will require more than 30 minutes to clean is 0.88. The mean is, a+b E(X) = 28+45 = 36.50 The mean is 36.50.

The standard deviation is, S(X)=, (b-a) 112 (45-28) 12 = 4.91 The standard deviation is 4.91.