1. For the scenario that follows, solve by hand and then solve using the Excel functions POISSON and EXPONDIST. The time between arrival of patients to an urgent care center follows an exponential distribution with a mean of 30 minutes. a. What is the probability that exactly six patients will arrive in the next 90 minutes? b. What is the probability that at least two patients will arrive in the next 60 minutes? c. What is the probability that no patients will arrive in the next 60 minutes?
2. Provide the Excel code needed to generate a random number between [2,4). In Excel, generate 100 random numbers in this interval. Count the number between [2,3) and the number between [3,4). Comment on the results of your count.