In: Statistics and Probability
Suppose you are ordering pizza from a restaurant that is known to complete one order every 10 minutes. Let N be a Poisson RV modeling the number of orders completed in an hour.
(a) What is Λ?
(b) What is the probability that fewer than (or equal to) 5 orders are completed in one hour?
(c) What is the probability that between (or including) 4 to 8 orders are completed in an hour?
(d) What is the probability that more than (or equal to) 7 orders are completed in one hour?