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Suppose you toss a fair coin 10 times and get 10 heads in a row. If you continue to toss until you’ve tossed it a hundred times, what is the expected outcome?

Consider once again the FIFO single-server queue event list (table below).  Event list for FIFO If the queue had instead been a LIFO queue, then which of the following statements would be TRUE ? 

Consider the joint p.m.f. of discrete random variables and :   What is  ?

TRUE or FALSE ? In ARENA resources can have a schedule, i.e., we can specify when and how many resources are available.

Which high-level simulation modeling approach does ARENA employ?

Consider the following event list for a FIFO single-server queue, where is the customer’s sequence number, is the customer’s interarrival time, is the customer’s arrival time, is the customer’s service start time, and is the customer’s service time. Event list for FIFO What is the average waiting time for the customers in the queue?  

Which of the following statements about ARENA is incorrect?

We are given the following square dartboard with side length = 2 units, with a circle of radius 1 unit inscribed in it and a certain region shaded red (namely, the bottom half of the square + the upper semi-circle, as shown in the picture). Suppose we throw 1000 darts on the given square dartboard and 892 of them land in the red area. Use this information to estimate π.                                                         

On a particular river, overflow floods occur once every year on average. Calculate the probability of 2 overflow floods in a particular year. Assume the number of floods follows a Poisson distribution.

Suppose that  and are i.i.d. random variables. How would you simulate a discrete uniform random integer between 1 and 12 (e.g., a 12-sided die toss)?