(All answers were generated using 1,000 trials and native Excel functionality.)

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 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	lowa Wolves	Maine Red Claws
1	[6,21]	[9,14]
2	[8,21]	[17,22]
3	[6,11]	[12,22]
4	[11,41]	[17,32]
5	[7,21]	[7,12]
6	[4,11]	[3,22]
7	[3,6]	[3,6]
8	[3,5]	[4,6]

(a)

Develop a spreadsheet model that simulates the points scored by each team and the difference in their point totals. What are the average and standard deviation of points scored by the Iowa Wolves?

Round your answers to one decimal place.

Average:
Standard Deviation:

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

- Select your answer -Bell-shaped, almost symmetricUniformBimodalItem 3

(b)

What are the average and standard deviation of points scored by the Maine Red Claws?

Round your answers to one decimal place.

Average:
Standard Deviation:

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

- Select your answer -Bell-shaped, almost symmetricUniformBimodalItem 6

(c)

Let Point Differential = Iowa Wolves points - Maine Red Claws points. What is the average Point Differential between the Iowa Wolves and Maine Red Claws? What is the standard deviation of the Point Differential? If your answer is negative, enter a minus sign in the input box.

Round your answers to one decimal place.

Average:
Standard Deviation:

What is the shape of the Point Differential distribution?

- Select your answer -Bell-shaped, almost symmetricUniformBimodalItem 9

(d)

What is the probability that the Iowa Wolves score more points than the Maine Red Claws?

Round your answer to the nearest whole number.

%

(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, 27]. How does the new strategy affect the average and standard deviation of the Wolves point total? How does that affect the probability that the Iowa Wolves score more points than the Maine Red Claws?

Round first two numerical answers to one decimal place and the last answer to a whole percentage.

The average Iowa Wolves point total will be points and the standard deviation of the Iowa Wolves point total will be points. The probability of the Iowa Wolves scoring more points than the Maine Red Claws will become