Project #1839 - statistic

GRADED ASSIGNMENT!!  Only the student’s instructor may help.

 

 

Name ____________________________________     Score ____________

 

 

World Series Simulation

Intro Stats – Investigative Task

 

In order for a baseball team to win the World Series, the team must win four of seven games.  Assume the two teams are equally likely to win.

 

  1. Using a simulation with 25 trials, what is the probability that the teams in the World Series will play all seven games?

 

  1. Often we do the same simulation to answer a different question.  It just depends on the way we use the data.  Using the same simulation data, what is the average number of games that must be played to win the World Series?

 

  1. The following data represent the number of games played in each World Series from 1923 to 2010. Compute the average number of games played and compare that number to your result for question 2 from your simulation. 

X( games played)

probability

4

0.1954

5

0.2069

6

0.2184

7

0.3793

 

 

This project must be typed.    

 

  • Include an explanation of the simulation process in context for each question.
  • Include the data for each trial. 
  • Compute the appropriate statistic for each question. 
  • Interpret the conclusion in context and answer the question.
  • Discuss:  What could be wrong with our assumption?
  • Compute the average number of games that have actually been played from 1923 to 2010.
  • Compare that number to the answer you got with your result for the simulation for question 2.

 

 

 

 

 

trial

simulation

Played all seven games

Number of games played

1

 

 

 

 

2

 

 

 

 

3

 

 

 

 

4

 

 

 

 

5

 

 

 

 

6

 

 

 

 

7

 

 

 

 

8

 

 

 

 

9

 

 

 

 

10

 

 

 

 

11

 

 

 

 

12

 

 

 

 

13

 

 

 

 

14

 

 

 

 

15

 

 

 

 

16

 

 

 

 

17

 

 

 

 

18

 

 

 

 

19

 

 

 

 

20

 

 

 

 

21

 

 

 

 

22

 

 

 

 

23

 

 

 

 

24

 

 

 

 

25

 

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 01/15/2013 12:00 am
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