Mr. Wilcox and Mrs. Gallas spent a full day playing Skee Ball and collected some data.  Based on the data, who would you predict to win a match?   X 10 20 30 40 50   Y 10 20 30 40 50 Probability 0.4 0.2 0.2 0.14 0.06   Probability 0.02 0.28 0.55 0.1 0.05 Are X and Y discrete or continuous?  Why? Verify that each probability distribution is valid. Find and then find .  Based on this answer, who will win? Find the average of the X values.  Find the average of the Y values.  Based on this answer, who will win?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Mr. Wilcox and Mrs. Gallas spent a full day playing Skee Ball and collected some data.  Based on the data, who would you predict to win a match?

 

X

10

20

30

40

50

 

Y

10

20

30

40

50

Probability

0.4

0.2

0.2

0.14

0.06

 

Probability

0.02

0.28

0.55

0.1

0.05

Are X and Y discrete or continuous?  Why?



  1. Verify that each probability distribution is valid.




  1. Find and then find .  Based on this answer, who will win?




  1. Find the average of the X values.  Find the average of the Y values.  Based on this answer, who will win?




Using the SPA applet, launch the Probability applet and choose “Discrete probability distribution”.  Enter Mr. Wilcox’s data and click “Begin analysis”.  Do the same for Mrs. Gallas.  Sketch the graphs and record the values below.

 

Graph Distribution for X

Graph Distribution for Y








Mean for Graph Distribution for X =

Mean for Graph Distribution for Y= 

SD for Graph Distribution for X =

SD for Graph Distribution for Y= 

 

  1. Based on the applet, who will win? Why?
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