**PLEASE READ QUESTION CAREFULLY. QUESTION IS IN MONTH AND NOT YEAR and not the same as the other questions on here** Thank you :)

Clark Property Management is responsible for the maintenance, rental, and day to day operation of several large apartment complexes I the east end of Toronto. George Clark is especially concerned about the cost projections for replacing air conditioner compressors. He would like to simulate the number A/C failures each month. Using data from similar apartment buildings he manages in a Toronto suburb, Clark establishes the probability of failures during a month as follows:

Number of A/C failures	Probability
0	0.06
1	0.13
2	0.25
3	0.28
4	0.20
5 6	0.07 0.01

a. Simulate Clarks monthly A/C failures for a period of three years. Compute the average number of failures per month. (Just 1 replication, no data table necessary.)

b. Calculate the theoretical expected number of failures. Explain any difference between the simulated average failures and this expected value of failures computed by using the probability distribution.