Question

Problem 12-09

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 his skills, the number of points he scores in a game can vary dramatically. 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]

1. Develop a spreadsheet model that simulates the points scored by each team. 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?
   
   Bell Shaped
2. 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?
   
   Bell Shaped
3. 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. Enter minus sign for negative values.
   
   
   
   What is the standard deviation in the point differential? Round your answer to one decimal place.
   
   
   
   What is the shape of the point differential distribution?
   
   Bell Shaped
4. 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.
   
   
5. 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? Round your answer to one decimal place.
   
   Average =
   
   Standard Deviation =
   
   Explain.
   
   The input in the box below will not be graded, but may be reviewed and considered by your instructor.
   
   
   
   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 =
   
   Explain.
   
   The input in the box below will not be graded, but may be reviewed and considered by your instructor.

****PLEASE JUST RESPOND WITH ANSWERS

Answer 1

ANSWER:

a) Point scored by Iowa Energy

average: 83.9

standard deviation: 12

b) Point scored by Maine Red Claws

average: 88.3

standard deviation: 8.6

c) The point differential

Average: -4.4

standard deviation: 14.7

d)The probability that Iowa energy scores more than Maine red claws is 0.363

We can get the distribution of point scored by the 2 teams by getting a histogram

e)The average and standard deviation of Iowa energy is

average: 84.4

standard deviation: 21.1

NOTE:If you need the explanation i can provide the answer.

========================THANK YOU========================