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 ​$23 comma 000​, a ​$150 gas​ card, or a ​$5 shopping card. To claim his or her​ prize, a prospective customer needed to present the flier 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 comma 259​, the chance of winning the gas card was 1 out of 31 comma 259 comma and the chance of winning the shopping card was 31 comma 257 out of 31 comma 259. Complete parts​ (a) through​ (d).
Question content area bottom
Part 1
a. How many fliers do you think the automobile dealership sent​ out? Assume there is one car and one gas card available.

31,259 fliers
Part 2
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?
muequals​$

5.73 ​(Round to the nearest cent as​ needed.)
Part 3
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?
sigmaequals​$

enter your response here ​(Round to the nearest cent as​ needed.)
Part 4
d. Do you think this is an effective​ promotion? Why or why​ not?
A.
No. The promotion will not turn a profit regardless of how many customers redeeming fliers make a purchase.
B.
No. The promotion will only turn a profit if the customers redeeming fliers make an average purchase less than the expected value of the prize​ won, which is unlikely.
C.
Yes. The promotion will turn a profit if the customers redeeming fliers make an average purchase greater than the expected value of the prize​ won, which is likely.
D.
Yes. The promotion will turn a profit if any of the customers redeeming fliers make a​ purchase, which is likely.
Assume there is one car and one gas card available.fliers$(Round to the nearest cent as needed.)$(Round to the nearest cent as needed.)Why or why not?