Every Monday a local radio station gives coupons away to 50 people who correctly answer a question about a news fact from the previous day's newspaper. The coupons given away are numbered from 1 to 50, with the first person receiving coupon 1, the second person receiving coupon 2, and so on, until all 50 coupons are given away. On the following Saturday, the radio station randomly draws numbers from 1 to 50 and awards cash prizes to the holders of the coupons with these numbers. Numbers continue to be drawn without replacement until the total amount awarded first equals or exceeds $300. If selected, coupons 1 through 5 each have a cash value of $200, coupons 6 through 20 each have a cash value of $100, and coupons 21 through 50 each have a cash value of $50. a) Explain how you would conduct a simulation using the random number table provided below to estimate the distribution of the number of prize winners each week. b) Perform your simulation 3 consecutive times, (that is, run 3 trials, one after another.) Start at the leftmost digit in the first row of the table and move across. Make your procedure clear so that someone can follow what you did. You must do this by marking directly on or above the table. Report the number of winners in each of your 3 trials. 72749 13347 65030 26128 49067 02904 49953 74674 94617 13317 81638 36566 42709 33717 59943 12027 46547 61303 46699 76423 38449 46438 91579 01907 72146 05764 22400 94490 49833 09258