Two thousand tickets are sold for P20.00 each. One ticket will win P10,000.00, two tickets will win P5,000.00 each and three tickets will win P1,000.00 each. Let X denotes the net gain from the purchase of a randomly selected ticket. a. Construct the probability distribution of X.

b. Find the expected value of X (mean) and variance, then interpret.

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.