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) AnswerCalculate the probability that the next room will require more than 30 minutes to clean. (round to two decimal places) AnswerCalculate the mean. (round to two decimal places) AnswerCalculate standard deviation of the distribution. (round to two decimal places) Answer

Answer 1

Answer:

The probability that the next room will require less than 32 minutes to clean

0.222222 = 22.22%

The probability that the next room will require more than 30 minutes to clean.

0.833333 = 83.33%

The mean

36.5

Standard deviation of the distribution

26.92

Step-by-step explanation:

Total Probable Outcomes = 18

Event 1

Possible outcomes less than 32 = 32-28 = 4

Probability less than 32 = 4/18 = 2/9 = 0.222222

Event 2

Possible outcomes less than 32 = 45-30 = 15

Probability less than 32 = 15/18 = 5/6 = 0.833333

Mean

Mean = (28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45)/18 = 36.5

Standard deviation of the distribution

*MS Excel file is attached for solution.

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