Mike Anderson Chevrolet in Merrillville sent out fliers to perspective customers indicating they had already won one of three different prizes:an automobile valued at $25,000, a $100 gas card or a $5 Walmart shopping card.To claim the prize, the customer needed to come to the dealership with the flier and take a car of their choice on a test drive.The fine print on the flier listed the probabilities associated with winning each prize.The chance of winning the car was 1 out of 31,478, the chance of winning the gas card was also 1 out of 31,478 and the chance of winning the shopping card was 31,476 out of 31,478.

a.How many fliers did the dealership send out?

b.Using the information from the fine print and the value of the prizes associated with each probability, create a table that displays the probability distribution.

c.What is the expected value of the prize won by any given customer?

d.The dealership has data to support the assumption that for every 10 customers that take a car on a test drive, one customer will buy a car with an average profit of $500 per car.Based on this information and your results in part c, do you think this is an effective promotion?