A shuttle operator has sold 20 tickets to ride the shuttle. All passengers (ticket holder) are independent of each other, and the probability that a passenger is part of the frequent rider club is 0.65 (65% chance they are part of the group and 35% chance they are not). Say X is the number of passengers out of the 20 that are part of the frequent rider club. a. Was type of distribution does X follow? Write the probability mass function (f(x)), and name b. What is the expected number of passengers that are part of the frequent rider club. Interpret c. Say each passenger is charged $3.00 for their tickets. What is the expected revenue? What is its parameters this value for the shuttle operator (in a sentence or two). the variance of the revenue? d. Now say each passenger in the frequent rider club are charged $2.00 for their tickets and the regular passengers (not in the frequent rider club) are charged S4.50 for their tickets. What is the expected revenue?