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Question 4) (25 points) Let X(1) represent the number of customers that arrive to a bank in an interval of length t, where ? is measured in hours. Suppose X(/) has a Poisson distribution with mean rate / - 3 per hour. Use the pseudorandom numbers in the below table to generate a value of X(3). That is, generate the number of arrivals in 3 hours. 0,83455 0,816526 0,578672 0,078814 us 0,337422 0,536389 0,94881 0,925641 ug 0,546956 1410 0,603929 uil 0,308192 0,671587 1/3 0,198964 Hint: You may not need to use all the pseudorandom number provided in the above table. Question 5) (10 points) Answer the following true/false questions. 2 points each. a) As the sample size increases, sample mean converges to its true value. b) Type 1 error is rejecting the null hypothesis when it is in fact true. c) Decide module in ARENA is unable to model / chance events at the same time, Therefore, one needs to use a sequence of decide modules to model n chance events. d) Random numbers distributed according to Erlang distribution can be generated by successive generation of Weibull random numbers. c) Customer waiting time is an important measure of performance in service systems