Team X Is Scheduled to Play Against Team Y in an Upcoming

question 36

Essay

Team X is scheduled to play against Team Y in an upcoming game in Baseball's World Series. Assume that each player's point production can be represented as an integer uniform variable with the ranges provided in the following table:
a. Develop a spreadsheet model that simulates the points scored by each team.
b. What are the average and standard deviation of points scored by Team X? What is the shape of the distribution of points scored by Team X?
c. What are the average and standard deviation of points scored by Team Y? What is the shape of the distribution of points scored by Team Y?
d. Let Point Differential = Team X points - Team Y points. What is the average point differential between the two teams? What is the standard deviation in the point differential? What is the shape of the point differential distribution?
e. What is the probability that the Team X scores more points than the Team Y?

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Definitions:

Practical Ideas

Concepts or solutions that can be implemented effectively and have potential for real-world application.

Human-Centered Design

A design approach that prioritizes the needs, wants, and limitations of the end-user at every stage of the design process.

Human Needs

Fundamental requirements that people need to survive and thrive, including physiological needs, safety, love, and esteem.

Design Thinking

A problem-solving approach that involves assessing known aspects of a problem and identifying the more ambiguous or peripheral factors that contribute to the conditions of a problem.