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

   1. What is the value of the parameter ??

   2. What Is the median time between requests?

   3. What is the standard deviation?

   4. What is the 80th percentile?

2. (4.7.6) [Refer to problem 1 above]

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

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

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

   4. Find the probability that the time between requests is