Answered: The Iowa Wolves are scheduled to play…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.1: Systems Of Linear Equations: Two Variables

Problem 2SE: If you are performing a break-even analysis for a business and their cost and revenue equations are...

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The Iowa Wolves 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. Develop a spreadsheet model that simulates the points scored by each team. Assume that each player's point production can be represented as an integer uniform variable with the ranges provided in the following table. (Use at least 1,000 trials.)

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

(a)

Consider the points scored by the Iowa Wolves team. (Round your answers to two decimal places.)

What is the average of points scored?

What is the standard deviation?

What is the shape of the distribution?

uniformbell-shaped skewed leftskewed right

(b)

Consider the points scored by the Maine Red Claws. (Round your answers to two decimal places.)

What is the average of points scored?

What is the standard deviation?

What is the shape of the distribution?

uniformbell-shaped skewed leftskewed right

(c)

Let Point Differential = Iowa Wolves points − Maine Red Claw points. (Round your answers to two decimal places.)

What is the average point differential between the Iowa Wolves and Maine Red Claws?

What is the standard deviation in the point differential?

What is the shape of the point differential distribution?

uniformbell-shaped skewed leftskewed right

(d)

What is the probability that the Iowa Wolves scores more points than the Maine Red Claws? (Round your answer to three decimal places.)

(e)

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? (Round your answers to two decimal places.)

average pointsstandard deviation points

What is the new probability of the Iowa Wolves scoring more points than the Maine Red Claws? (Round your answer to three decimal places.)

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