A gym begun a program in which one member is randomly selected each week to receive a gift card. Each of the gym's 200 members is equally likely to be selected each week, and the same member could be selected more than once. Each week's selection is independent from every other week. [ Hint: Binomial distribution] 1. Determine the probability that a particular member receives at least 2 gift cards in a 52- week year. 2. If a member has received 2 gift cards in a row, what is the probability that this member will receive a gift card again next week? 3. Calculate the expected value for the number of gift cards a particular member will receive in two 52-week years. 4. If a member receives 4 gift cards in a 52 week year, the gym will give this member E100, how much does the gym expect to pay for this prize