Problem 1 (7.5 Points) Fred is an enthusiastic fan of the Cornhole Game. The goal is to throw bags of corn kernels at a raised platform (board) and hit a round hole in the far end. The board dimensions are given in the picture below. We assume that the size of a sack is 5"x5", and it falls into the hole if its center lands in the hole. After a few practice sessions, he found out that, when aiming at the center of the hole, the (center) landing position of the sack (in inches) is distributed N(-3,11) vertically, and N(2,4) horizontally (=in throw direction). 48" 90 9" Throw Direction 24" 6 6" www.cornhole-building.com Create a YASAI simulation model in Excel and use it to answer the following questions. Use an appropriate number of repetitions! a. What is the probability that a sack lands within the outer boundaries of the board at all when aiming at the center of the hole? (Three decimals precision!) b. What is the probability that he scores by hitting the hole when aiming at the center of the hole? (Three decimals precision!) c. What is his probability of not scoring at all after three attempts/throws? (Three decimals precision!) Problem 1 (7.5 Points) Fred is an enthusiastic fan of the Cornhole Game. The goal is to throw bags of corn kernels at a raised platform (board) and hit a round hole in the far end. The board dimensions are given in the picture below. We assume that the size of a sack is 5"x5", and it falls into the hole if its center lands in the hole. After a few practice sessions, he found out that, when aiming at the center of the hole, the (center) landing position of the sack (in inches) is distributed N(-3,11) vertically, and N(2,4) horizontally (=in throw direction). 48" 90 9" Throw Direction 24" 6 6" www.cornhole-building.com Create a YASAI simulation model in Excel and use it to answer the following questions. Use an appropriate number of repetitions! a. What is the probability that a sack lands within the outer boundaries of the board at all when aiming at the center of the hole? (Three decimals precision!) b. What is the probability that he scores by hitting the hole when aiming at the center of the hole? (Three decimals precision!) c. What is his probability of not scoring at all after three attempts/throws? (Three decimals precision!)