A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20, 000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31, 101, the chance of winning the gas card was 1 out of 31, 101, and the chance of winning the shopping card was 31, 099 out of 31, 101. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? fliers b. Using your answer to (a) and the probabilities listed on the flier, what is the expected value of the prize won by a prospective customer receiving a flier? mu = $ (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities listed on the flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a flier? sigma = $ (Round to the nearest cent as needed). d. Do you think this is an effective promotion? Why or why not?