Refer to Exercise 2.

a. Find the probability that there will be exactly 5 requests in a 2 -second time interval.

b. Find the probability that there will be more than 1 request in a 1.5 -second time interval.

c. Find the probability that there will be no requests in a 1-second time interval.

d. Find the probability that the time between requests is greater than 1 second.

e. Find the probability that the time between requests is between 1 and 2 seconds.

f. If there have been no requests for the past two seconds, what is the probability that more than one additional second will elapse before the next request?

Data From Exercise 2:

The time between requests to a web server is exponentially distributed with mean 0.5 seconds.