5. Delta Airlines latest baggage fees for checked luggage are as follows: $30 for the rst checked bag, $40 for the second checked bag, and $150 for the third checked bag. Suppose 53% of all Delta passengers have no checked luggage, 33% have one piece of checked luggage, 12% have two pieces1 and 2% have three pieces. We also suppose a negligible percent of passengers check more than three bags. (a) Build a probability model for 0, 1, 2, and 3 checked bags and use this to compute the average baggage revenue per passenger. (b) About how much baggage revenue should Delta expect for a ight of 200 passengers