Edward Owen is responsible for the maintenance, rental, and day-to-day operation of several large apartment complexes on the upper-east side of New York City. Owen is especially concerned about the cost projections for replacing air conditioner (A/C) compressors. He would like to simulate the number of A/C failures each month. Using data from similar apartment buildings he manages in a New York City suburb, Clark establishes the probability of failures during a month as follows: Number of AC failures Probability 0 0.10 1 0.17 2 0.21 3 0.28 4 0.16 5 0.07 6 ?? a. What is the probability of 6 AC failures in a month? b. What is the expected value for AC failures based on the above table? c. Simulate Owen's monthly A/C failures for a period of three years. Compute the average number of failures per month. d. Explain any difference between the simulated average failures and the expected value of failures computed by using the probability distribution.

112. Edward wen is responsible for the maintenance, rental, and daystoaday operation of several large apartment complexes on the upperaeast side of New 1I"orlt City. Gwen is especially concerned about the cost projections for replacing air conditioner {ME} compressors. He would like to simulate the number ofAJE failures each month. Using data from similar apartment buildings he manag in a New 'I'orl: City suburbI Clad: establishes the probability of failures during a month as follows: Number of AC failures Probability Ill I11? [1.21 [1.15 Ill]? ?? a. What is the probability of 5 M2 failures in a month? What is the expected value for AC failures based on the above table'il Simulate Gwen's monthly Aft: failures for a period ofthree years. Compute the average number of failures per month. d. Explain any difference between the simulated average failures and the expected value of failures computed by using the probability distribution