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

question 52

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:
​ $$\begin{array} { | c | c | c | } \hline \text { Player } & \text { Team X } & \text { Team Y } \\\hline 1 & { [ 4,10 ] } & { [ 2,4 ] } \\\hline 2 & { [ 2,6 ] } & { [ 14,30 ] } \\\hline 3 & { [ 7,20 ] } & { [ 2,20 ] } \\\hline 4 & { [ 3,5 ] } & { [ 1,10 ] } \\\hline 5 & { [ 6,20 ] } & { [ 8,20 ] } \\\hline 6 & { [ 5,10 ] } & { [ 7,12 ] } \\\hline 7 & { [ 7,10 ] } & { [ 14,20 ] } \\\hline 8 & { [ 12,40 ] } & { [ 3,5 ] } \\\hline 9 & { [ 9,20 ] } & { [ 14,25 ] } \\\hline\end{array}$$ ​
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?

---

Definitions:

Dyadic Relationships

Interactions or connections that occur between two individuals, often studied in psychology and sociology to understand human behavior.

Leading Change

involves guiding an organization through a transition, effectively managing resistance, and ensuring the successful implementation of new strategies, structures, or cultural shifts.

Months

The divisions of the year into twelve distinct periods, each typically having 30 to 31 days, except for February.

Longitudinal Case Study

An in-depth research method that involves observing a particular subject or subjects over an extended period.