Phantom Controls monitors and repairs control circuit boxes on elevators installed in multistory buildings in downtown Chicago. The company has the contract for 108 buildings. When a box malfunctions, Phantom installs a new one and rebuilds the failed unit in its repair facility in Gary, Indiana. The data for failed boxes over the last 2 years is shown in the following table:
Number of Failed
Boxes per Month Probability
0 ................ .10
1 ................ .14
2 ................ .26
3 ................ .20
4 ................ .18
5 ................ .12
Simulate 2 years (24 months) of operation for Phantom and determine the average number of failed boxes per month from the simulation. Was it common to have fewer than 7 failures over 3 months of operation? (Start your simulation at the top of the 10th column of Table F.4 on shown below, RN = 37, and go down in the table.)