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 $25,000, a $75 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the fier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,582, the chance of winning the gas card was 1 out of 31,582, and the chance of winning the shopping card was 31,580 out of 31,582 Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available 31582 fers b. Using your answer to (a) and the probabilities listed on the fier, what is the expected value of the prize won by a prospective customer receiving a fier? $5.79 (Round to the nearest cent as needed.) c. Using your answer to (a) and the probabilities listed on the fier, what is the standard deviation of the value of the prize won by a prospective customer receiving a fier? $4445.56 (Round to the nearest cent as needed.)