Description
- For a Bernoulli process, answer the following questions
- (a) Use p = 0.7 and simulate number of arrivals for t = 10, 50, 100, 500.
- (b) From part (a), plot t versus probability of number of arrivals. What do you observe.
- (c) From part (a), plot t versus cumulative distribution function of num- ber of arrivals. What do you observe.
- (d) Simulate number of arrivals with p = 0.1 and t = 100 and plot the density. Describe your observations.
- (e) In Bernoulli process, the interarrival times follow Geometric (p). Let p = 0.7, plot the cumulative distribution function of X1.
- Suppose that the customers arrive at a retail store at a rate of 20 customers per minute. We are interested in studying number of customers in a long run. Let’s assume we can model it as a Poisson process. Answer the following questions
- (a) Simulate the density of number of arrivals until time t = 50,100. Provide the related graphs.
- (b) Simulate the cumulative distribution function of number of arrivals until time t = 50, 100. Provide the related graphs.
- (c) In part (a) and (b), make comparison w.r.t. t.1
