11. The Iowa Energy are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association (NBA) G League. Because a player in the NBA G League is still developing his skills, the number of points he scores in a game can vary substantially. Assume that each player's point production can be represented as an integer uniform random variable with the ranges provided in the following table: Player Covao WN- lowa Energy (5,20] 17,20] [5,10] [10,40] [6,20] (3,10) [2,5) (2,4) Maine Red Claws 17,12] [15,20] 110,201 [15,30] [5,10] [1,20] [1,4] 12,4 a. Develop a spreadsheet model that simulates the points scored by each team and the difference in their point totals. b. What are the average and standard deviation of points scored by the lowa Energy? What is the shape of the distribution of points scored by the lowa Energy? c. What are the average and standard deviation of points scored by the Maine Red Claws? What is the shape of the distribution of points scored by the Maine Red Claws? d. Let Point Differential = lowa Energy points - Maine Red Claw points. What is the average Point Differential between the lowa Energy and Maine Red Claws? What is the standard deviation of the Point Differential? What is the shape of the Point Dif- ferential distribution? e. What is the probability that the lowa Energy scores more points than the Maine Red Claws? f. The coach of the lowa Energy feels that they are the underdog and is considering a riskier game strategy. The effect of this strategy is that the range of each Energy player's point production increases symmetrically so that the new range is [0, orig- inal upper bound + original lower bound). For example, Energy player l's range with the risky strategy is [0, 25). How does the new strategy affect the average and standard deviation of the Energy point total? How does that affect the probability of the lowa Energy scoring more points than the Maine Red Claws? 11. The Iowa Energy are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association (NBA) G League. Because a player in the NBA G League is still developing his skills, the number of points he scores in a game can vary substantially. Assume that each player's point production can be represented as an integer uniform random variable with the ranges provided in the following table: Player Covao WN- lowa Energy (5,20] 17,20] [5,10] [10,40] [6,20] (3,10) [2,5) (2,4) Maine Red Claws 17,12] [15,20] 110,201 [15,30] [5,10] [1,20] [1,4] 12,4 a. Develop a spreadsheet model that simulates the points scored by each team and the difference in their point totals. b. What are the average and standard deviation of points scored by the lowa Energy? What is the shape of the distribution of points scored by the lowa Energy? c. What are the average and standard deviation of points scored by the Maine Red Claws? What is the shape of the distribution of points scored by the Maine Red Claws? d. Let Point Differential = lowa Energy points - Maine Red Claw points. What is the average Point Differential between the lowa Energy and Maine Red Claws? What is the standard deviation of the Point Differential? What is the shape of the Point Dif- ferential distribution? e. What is the probability that the lowa Energy scores more points than the Maine Red Claws? f. The coach of the lowa Energy feels that they are the underdog and is considering a riskier game strategy. The effect of this strategy is that the range of each Energy player's point production increases symmetrically so that the new range is [0, orig- inal upper bound + original lower bound). For example, Energy player l's range with the risky strategy is [0, 25). How does the new strategy affect the average and standard deviation of the Energy point total? How does that affect the probability of the lowa Energy scoring more points than the Maine Red Claws
