A study shows that employees who begin their work day at 8:00 a.m. vary their ti

Question

A study shows that employees who begin their work day at 8:00 a.m. vary their times of arrival uniformly over the range 7:40 a.m. to 8:30 a.m. (in other words, their arrival time follows a uniform distribution over a 50-minute period). We wish to simulate how many minutes late or early the customer arrives. If we have the random number 0.571, what will be the simulated late or early time of the the employee? (An early time will be a negative number and a late time will be a positive number. So if the employee arrives 10 minutes early, input -10. If (s)he arrives 10 minutes late, input 10.) Give your answer to 2 decimal places.

Explanation / Answer

The random numbers can be generated using the formula in excel as rand()*(b-a)+a rand()*50-20 where 20 mins is the difference 8:00 AM and 7:40 AM so the interval of minutes will range from(-20,30) where -20 mins signifies 7:40 AM and 20 minutes before 8:00 AM and 30 mins after 8:00 AM. For random number 0.571 the employee arrives 8.4 mins late

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