Homework Answers
ANSWER:
| Poisson | Bernoulli | |
| Times of arrival | Continuos | Discrete |
| Arrival Rate | Lambda/unit time | p/per trial |
| PMF of number of arrivals | Poisson | Binomial |
| PMF of Interarrival time | Exponential | Geometric |
Reason:
A Poisson process is defined as a process that has Poisson arrivals and Exponential interarrival time.
The arrival rate for Poisson process is given by 
(lambda / Unit time).
For a poisson process has continuous arrival times compared to Binomial process with discrete arrivals.
Poisson process is the limiting case of Binomial process.
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Question 3 20 pts Fill the blanks With: Erlang, Lamda/unit time, Exponential, Poisson, Continuous: Poisson Bernoulli...
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answer the question number 3 as stated in the picture
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Reason arrivals poisson and time continuous - exp prob Mode 1 1. The time until the next arrival at a gas station is modeled as an exponential random with mean 2 minutes. An arrival occurred 30 seconds ago. Find the probability that the next arrival occurs within the next 3 minutes. X= Time until next assival xu Expoential prob. Model Find: p(x-3) = P( ) e mean = 2 minutes = Arrival 30 sec ago = Next arrival w/in 3...
(19) For the following discrete randon variables, find m1, m2, and σ (a) Bernoulli (b) Binomial (c) Poisson (d) Geometric (20) For the following continuous random variables, find m1, m2, and σ2 (a) Uniform (b) Exponential (c) Gamma (d) Normal (e) Cauchy. .G (f) Pareto/Zeta" The answers to the above two problems can be found in a great man places. For example, in your book i get answers, but be able to calculate them n Appendix A. The point is...
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answer the question number 3 as stated in the picture
2. Vehicles arrive at an entrance to a recreational park. There is a single gate at which all vehicles must stop), where a park attendant distributes a free brochure. The park opens at 08:00 am, at which time vehicles begin to arrive at a rate of 480 veh/hr. after 20 minutes the arrival flow rate declines at 120 veh/hr, and it continues at that level for the remainder of the...
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1) A fast-food franchise is considering opening a drive-up window food service operation. Assume that customer arrivals follow a Poisson distribution ( interarrival times follow an exponential distribution), with a mean arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive up to the service window to pay for and receive their order. The following four...
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