Simulation Activity: The Poisson Experiment [The Virtual Laboratory for Probability and Statistics was developed by Dr. Kyle Siegrist at UM] Go to www. math. nah. edu/stat/ From the Apps List, Go to Renewal Processes, and select Poisson Experiment Note: In the simulation, it = rt, where r is the rate of occurrences over t units of time. For example, there could be r = 5 customers every t = 2 hours. This is equivalent to saying A = 10 customers on average per period where a period is 2 hours. The text uses it instead of rt. When Chips Ahoy! cookies debuted in 1963, they were advertised as having an average of 16 chocolate chips per cookie. The actual number of chocolate chips per cookie can be modeled using a Poisson distribution. a) Record your values of t = and r = for this simulation. b) Run the simulation 5 times and record the number of chips for each trial. (This is the value of N in the app.) c) Simulate examining 1000 cookies. What is the data probability that a randomly selected cookie has fewer than 10 chocolate chips? d) Find the distribution mean and the standard deviation e) The shape of the distribution over the domain from 0 to 00 is 0 How unlikely would it be if your randomly selected Chips Ahoy! Cookie had more than 32 chocolate chips