1. The number of hits to a website follows a Poisson process. Hits occur at the rate of 7.5 per minute between 7:00pm and 9:00P.M. Given below are three scenarios for the number of hits to the website. Compute the probability of each scenario between 7 : 21 P.M. and 7:22P.M. Interpret each result. (a) exactly five (b) fewer than five (c) at least five

2. The hits to a Web site occur at the rate of 10 per minute between 7:00 P.M. and 11 : 00 P.M. The random variable X is the number of hits to the Web site between 7 : 22 P.M. and 8:24 P.M. State the values of lambda and t for this Poisson process.

3. The random variable X follows a Poisson process with the given value of lambda and t. Assuming lambda equals 0.14 and t equals 12, compute the following. (a) P(5) (b) P(X less than5) (c) P(X greater than or equals 5) (d) P(5 less than or equals X less than or equals 8) (e) mu Subscript Upper X Baseline and sigma Subscript Upper X