2. The number of visitors to a webserver per minute between 2-3 PM follows a Poisson distribution. If the average number of visitors per minute during this time is 3:

a. What is the probability that there are exactly 2 visitors in one minute?

b. What is the probability that there are exactly 2 visitors in one minute, followed by exactly 2 visitors in the next minute?

c. What is the probability that there are exactly 4 visitors in two minutes?

d. Why are the answers to b) and c) different?

e. What is the probability that there are at most 2 visitors in 30 seconds?

f. Is it possible to use the information provided in the question to predict the number of visitors to the webserver in one minute between 2-3 AM? Why or why not?