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For each of the following, write down a queueing model using Kendall’s representation that best represents the system description. Assume exponential service times and Poisson arrivals.  (a) At a festival, there is a hot dog stand with one server taking orders. The waiting space is virtually unlimited. [mm1] (b) A bank has a four tellers to work on identical tasks; the arriving customers are given printed numbers in order and join whichever teller that becomes available in the incoming order. Due to the capacity limit, it can accommodate up to 30 customers within the space. [mm1k] (c) There is a cash bar at a private event with two bartenders who can take orders in parallel. The event holds 25 guests where each decides that they need a new drink every half an hour. [mm1kk]

Consider a service system with two servers with waiting space enough for one customer at any given time. In other words, there are at most three customers in the system and any excess customers are turned away. Suppose the interarrival time between customers follows the exponential distribution with rate 1, and the service time distribution of each server follows the exponential distribution with rate 0.4. Answer Q13-Q19 below.

Consider the following DTMC in answering Q1-Q6.

A careful and comprehensive profile along with psychopathology, family history, education, legal history, and habits will also typically include

The case of Calvin C. Johnson provides an example of _________________________, or cases in which the police stop investigating other leads and focus only developing evidence against the suspects identified by eyewitnesses and believed to be guilty.

Only ____ states have laws that compensate individuals who were wrongly imprisoned.

Sexual predators sometimes prowl online chat rooms to find victims. This technique is referred to as

According to the Bureau of Justice Statistics’ National Crime Victimization Survey in 2015, approximately _____________ criminal victimizations occurred.

The United States is perhaps the most individualistic society where people can deviate from the norm or make their own choices to a greater degree. The two deeply desired values are.

You are witnessing a trial. The judge is doing most of the questioning of witnesses, rather than the lawyers. In fact, the court—not the lawyers—has chosen which witnesses will testify. Where are you?