Q1 (30%) A company that tracks the use of its web site collected statistics of the number of visited pages (N) and whether the user gives his/her contacts. Random variable C=1 if the user gives his/her contact and C=0 if he/she does not. Use the following table to answer the questions: Number of visited pages (N) n=1 n=2 n=3 1=4 Probability of the number of visited pages (P(N=n)) 0.4 0.3 0.2 O.1 Probability that a user gives contact given that the | 0.1 0.1 0.2 0.4 user visited n page (P(C=1 [N=n)) (a) Find the CDF of the number of pages visited FN(n) and plot it versus n (b) What is the probability that a user provides his her contact information (P(C=1))? (c) If a user provided his/her contact information, what is the probability that the user viewed 4 pages (P(N=4 | C=1)