5) Given below is a bivariate distribution for the random variables x and y. Number of Cups per Day Number of Responses Probability Distribution 0 365 0.36 1 264 0.26 2 193 0.19 3 91 0.09 4 or more 101 0.10 Total = 1014 1 Compute the expected value and the variance for x and y. Develop a probability distribution for x + y Using the result of part (b), compute E(x + y) and Var(x + y).
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.
5) Given below is a bivariate distribution for the random variables x and y.
|
Number of Cups per Day |
Number of Responses |
|
|
0 |
365 |
0.36 |
|
1 |
264 |
0.26 |
|
2 |
193 |
0.19 |
|
3 |
91 |
0.09 |
|
4 or more |
101 |
0.10 |
|
Total = |
1014 |
1 |
- Compute the
expected value and the variance for x and y. - Develop a probability distribution for x + y
- Using the result of part (b), compute E(x + y) and Var(x + y).
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