Problem 16-09 The Iowa Energy are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association Developmental League (NBA-DL). Because a player in the NBA-DL is still developing their skills, the number of points he scores in a game can vary. Assume that each player's point production can be represented as an integer uniform variable with the ranges provided in the table below. Player Iowa Energy Maine Red Claws 1 [5, 20] [7, 12] 2 [7, 20] [15, 20] 3 [5, 10] [10, 20] 4 [10, 40] [15, 30] 5 [6, 20] [5, 10] 6 [3, 10] [1, 20] 7 [2, 5] [1, 4] 8 [2, 4] [2, 4] Develop a spreadsheet model that simulates the points scored by each team. Use at least 1,000 trials. What is the average and standard deviation of points scored by the Iowa Energy? If required, round your answer to one decimal place. Average = _________________ Standard Deviation = ___________________ What is the shape of the distribution of points scored by the Iowa Energy? What is the average and standard deviation of points scored by the Maine Red Claws? If required, round your answer to one decimal place. Average = _____________________ Standard Deviation = ______________________ What is the shape of the distribution of points scored by the Maine Red Claws? Let Point Differential = Iowa Energy points - Maine Red Claw points. What is the average point differential between the Iowa Energy and Maine Red Claws? If required, round your answer to one decimal place. _______________________ What is the standard deviation in the point differential? ______________________ What is the shape of the point differential distribution? _________________________ What is the probability of that the Iowa Energy scores more points than the Maine Red Claws? If required, round your answer to three decimal places. _________________________ The coach of the Iowa Energy feels that they are the underdog and is considering a "riskier" game strategy. The effect of the riskier game strategy is that the range of each Energy player's point production increases symmetrically so that the new range is [0, original upper bound + original lower bound]. For example, Energy player 1'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? Average = ________________ Standard Deviation = _____________________ How is the probability of the Iowa Energy scoring more points that the Maine Red Claws affected? If required, round your answer to three decimal places. Probability = ______________

Problem 16-09 The Iowa Energy are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association Developmental League (NBA-DL). Because a player in the NBA-DL is still developing their skills, the number of points he scores in a game can vary. Assume that each player's point production can be represented as an integer uniform variable with the ranges provided in the table below. Player Iowa Energy Maine Red Claws 1 [5, 20] [7, 12] 2 [7, 20] [15, 20] 3 [5, 10] [10, 20] 4 [10, 40] [15, 30] 5 [6, 20] [5, 10] 6 [3, 10] [1, 20] 7 [2, 5] [1, 4] 8 [2, 4] [2, 4] Develop a spreadsheet model that simulates the points scored by each team. Use at least 1,000 trials. What is the average and standard deviation of points scored by the Iowa Energy? If required, round your answer to one decimal place. Average = _______ Standard Deviation = _ What is the shape of the distribution of points scored by the Iowa Energy? What is the average and standard deviation of points scored by the Maine Red Claws? If required, round your answer to one decimal place. Average = _ Standard Deviation = What is the shape of the distribution of points scored by the Maine Red Claws? Let Point Differential = Iowa Energy points - Maine Red Claw points. What is the average point differential between the Iowa Energy and Maine Red Claws? If required, round your answer to one decimal place. _ What is the standard deviation in the point differential? What is the shape of the point differential distribution? _ What is the probability of that the Iowa Energy scores more points than the Maine Red Claws? If required, round your answer to three decimal places. _ The coach of the Iowa Energy feels that they are the underdog and is considering a "riskier" game strategy. The effect of the riskier game strategy is that the range of each Energy player's point production increases symmetrically so that the new range is [0, original upper bound + original lower bound]. For example, Energy player 1'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? Average = Standard Deviation = _ How is the probability of the Iowa Energy scoring more points that the Maine Red Claws affected? If required, round your answer to three decimal places. Probability = ____

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Problem 16-09

The Iowa Energy are scheduled to play against the Maine Red Claws in an upcoming game in the National Basketball Association Developmental League (NBA-DL). Because a player in the NBA-DL is still developing their skills, the number of points he scores in a game can vary. Assume that each player's point production can be represented as an integer uniform variable with the ranges provided in the table below.

Player	Iowa Energy	Maine Red Claws
1	[5, 20]	[7, 12]
2	[7, 20]	[15, 20]
3	[5, 10]	[10, 20]
4	[10, 40]	[15, 30]
5	[6, 20]	[5, 10]
6	[3, 10]	[1, 20]
7	[2, 5]	[1, 4]
8	[2, 4]	[2, 4]

Develop a spreadsheet model that simulates the points scored by each team. Use at least 1,000 trials. What is the average and standard deviation of points scored by the Iowa Energy? If required, round your answer to one decimal place.

Average = _________________

Standard Deviation = ___________________

What is the shape of the distribution of points scored by the Iowa Energy?
What is the average and standard deviation of points scored by the Maine Red Claws? If required, round your answer to one decimal place.

Average = _____________________

Standard Deviation = ______________________

What is the shape of the distribution of points scored by the Maine Red Claws?
Let Point Differential = Iowa Energy points - Maine Red Claw points. What is the average point differential between the Iowa Energy and Maine Red Claws? If required, round your answer to one decimal place.

_______________________

What is the standard deviation in the point differential?

______________________

What is the shape of the point differential distribution?

_________________________
What is the probability of that the Iowa Energy scores more points than the Maine Red Claws? If required, round your answer to three decimal places.

_________________________
The coach of the Iowa Energy feels that they are the underdog and is considering a "riskier" game strategy. The effect of the riskier game strategy is that the range of each Energy player's point production increases symmetrically so that the new range is [0, original upper bound + original lower bound]. For example, Energy player 1'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?

Average = ________________

Standard Deviation = _____________________

How is the probability of the Iowa Energy scoring more points that the Maine Red Claws affected? If required, round your answer to three decimal places.

Probability = ______________

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