On the Internet, data is transmitted in packets. In a simple model for web traffic, the number of packets N needed to transmit a webpage depends on wheather the page has graphic images. If the page has images (Event I), then N is Poisson random variable with parameter a = 6. If the page is just text (Event T), then N is uniform between 1 and 5 packets. Assume that only %25 of the pages are text only. 1. Write the conditional PMFs Pn\i(n) and Pn\t(n). 2. Find Pn(n). 3. Alice has an onld modem that gets disconnected after receiving the 10th packet. What is the probability that alice can download a random page? 4. What the PMF of the number of packets that Alice receives when she can download a page, that is, Pn\A(n) where A = {N