The Iowa Wolves is 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 Iowa Wolves Maine Red Claws [6, 12] [15,20] [10, 20] 1 2 3 [5, 20] [7,20] [5, 10]

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(d) What is the average point differential between the Iowa Wolves and Maine Red Claws? (Round your answer to two decimal places.)
points
What is the standard deviation of the point differential? (Round your answer to two decimal places.)
What is the shape of the point differential distribution?
O roughly symmetric
O skewed heavily to the right
O skewed heavily to the left
(e) What is the probability that the Iowa Wolves scores more points than the Maine Red Claws? (Round your answer to three decimal places.)
(f) The coach of the Iowa Wolves feels that they are the underdog and is considering a riskier game strategy. The effect of this strategy is that the range of each Wolves player's point production increases symmetrically so that the new range is [0, original upper bound + original lower
bound]. For example, Wolves player 1's range with the risky strategy is [0, 25]. How does the new strategy affect the average and standard deviation of the Wolves point total? (Use at least 1,000 trials. Round your answers to two decimal places.)
average
standard deviation
points
points
How does that affect the probability of the Iowa Wolves scoring more points than the Maine Red Claws? (Round your answer to three decimal places.)
Transcribed Image Text:(d) What is the average point differential between the Iowa Wolves and Maine Red Claws? (Round your answer to two decimal places.) points What is the standard deviation of the point differential? (Round your answer to two decimal places.) What is the shape of the point differential distribution? O roughly symmetric O skewed heavily to the right O skewed heavily to the left (e) What is the probability that the Iowa Wolves scores more points than the Maine Red Claws? (Round your answer to three decimal places.) (f) The coach of the Iowa Wolves feels that they are the underdog and is considering a riskier game strategy. The effect of this strategy is that the range of each Wolves player's point production increases symmetrically so that the new range is [0, original upper bound + original lower bound]. For example, Wolves player 1's range with the risky strategy is [0, 25]. How does the new strategy affect the average and standard deviation of the Wolves point total? (Use at least 1,000 trials. Round your answers to two decimal places.) average standard deviation points points How does that affect the probability of the Iowa Wolves scoring more points than the Maine Red Claws? (Round your answer to three decimal places.)
The Iowa Wolves is 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 Iowa Wolves Maine Red Claws
[5, 20]
[6, 12]
[7, 20]
[15, 20]
[10, 20]
[15, 30]
[6, 10]
[1,20]
[1,4]
[2, 4]
1
2
3
4
5
6
7
8
[5, 10]
[10, 40]
[7, 20]
[2, 10]
[2, 5]
[2, 4]
(a) Develop a model that simulates the points
Iowa Wolves' Total Points = Sum
Maine Red Claws' Total Points = Sum
Point Differential = Iowa Wolves' Total Points -
scored by each team and the difference in their point totals.
✓of Points Scored by Each Player
✓of Points Scored by Each Player
(b) What are the average and standard deviation of points scored by the Iowa Wolves? (Use at least 1,000 trials. Round your answers to two decimal places.)
average
88
8.8
points
points
standard deviation
O skewed heavily to the right
O skewed heavily to the left
average
standard deviation
✓Maine Red Claws' Total Points
What is the shape of the distribution of points scored by the Iowa Wolves?
O roughly symmetric
(c) What are the average and standard deviation of points scored by the Maine Red Claws? (Round your answers to two decimal places.)
points
points
What is the shape of the distribution of points scored by the Maine Red Claws?
O roughly symmetric
O skewed heavily to the right
O skewed heavily to the left
Transcribed Image Text:The Iowa Wolves is 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 Iowa Wolves Maine Red Claws [5, 20] [6, 12] [7, 20] [15, 20] [10, 20] [15, 30] [6, 10] [1,20] [1,4] [2, 4] 1 2 3 4 5 6 7 8 [5, 10] [10, 40] [7, 20] [2, 10] [2, 5] [2, 4] (a) Develop a model that simulates the points Iowa Wolves' Total Points = Sum Maine Red Claws' Total Points = Sum Point Differential = Iowa Wolves' Total Points - scored by each team and the difference in their point totals. ✓of Points Scored by Each Player ✓of Points Scored by Each Player (b) What are the average and standard deviation of points scored by the Iowa Wolves? (Use at least 1,000 trials. Round your answers to two decimal places.) average 88 8.8 points points standard deviation O skewed heavily to the right O skewed heavily to the left average standard deviation ✓Maine Red Claws' Total Points What is the shape of the distribution of points scored by the Iowa Wolves? O roughly symmetric (c) What are the average and standard deviation of points scored by the Maine Red Claws? (Round your answers to two decimal places.) points points What is the shape of the distribution of points scored by the Maine Red Claws? O roughly symmetric O skewed heavily to the right O skewed heavily to the left
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The coach of the Iowa Wolves feels that they are the underdog and is considering a riskier game strategy. The effect of this strategy is that the range of each Wolves player's point production increases symmetrically so that the new range is [0, original upper bound + original lower bound]. For example, Wolves player 1's range with the risky strategy is [0, 25]. How does the new strategy affect the average and standard deviation of the Wolves point total? (Use at least 1,000 trials. Round your answers to two decimal places.)

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