Answered: The Iowa Wolves is scheduled to play…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 their skills, the number of points a player 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
1	[5, 20]	[6, 12]
2	[7, 20]	[15, 20]
3	[5, 10]	[10, 20]
4	[10, 40]	[15, 30]
5	[7, 20]	[6, 10]
6	[2, 10]	[1, 20]
7	[2, 5]	[1, 4]
8	[2, 4]	[2, 4]

(a)

Develop a model that simulates the points scored by each team and the difference in their point totals.

Iowa Wolves' Total Points= of Points Scored by Each PlayerMaine Red Claws' Total Points= of Points Scored by Each PlayerPoint Differential=Iowa Wolves' Total Points Maine Red Claws' Total Points

(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 pointsstandard deviation points

What is the shape of the distribution of points scored by the Iowa Wolves?

skewed heavily to the rightroughly symmetric skewed heavily to the left

(c)

What are the average and standard deviation of points scored by the Maine Red Claws? (Round your answers to two decimal places.)

average pointsstandard deviation points

What is the shape of the distribution of points scored by the Maine Red Claws?

skewed heavily to the rightroughly symmetric skewed heavily to the left

(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.)

points

What is the shape of the point differential distribution?

skewed heavily to the rightroughly symmetric 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 pointsstandard deviation 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.)

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