Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. Compare the results of distributions A and B. Distribution A DUN\\DX Pix) 0.43 0.25 0.17 0.09 0.06 Distribution B humxox P(X) 0.06 0.09 0.17 0.25 0.43 D The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) and (b) to the right. Number of Accidents Daily (X) P(X) 0.27 0.34 0. 19 OUA W N - O 0.08 0.06 0.04 0.02A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $24,000, a $125 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 31,152, the chance of winning the gas card was 1 out of 31,152, and the chance of winning the shopping card was 31, 150 out of 31, 152. 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.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?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?d. Do you think this is an effective promotion? Why or why not