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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 |
|
|
|
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?
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=
- Based on the applet, who will win? Why?
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