Enter the following table in to Excel y |f(x,y) 50 80 .2 50 5 30 40 60 .3 Round to the nearest whole number. Compute the covariance between x and y. 100 Compute the expected value of 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.
Compute the
Based on the provided information, the probability distribution for X and Y is given below:
| x | y | f(x,y) |
| 50 | 80 | 0.2 |
| 30 | 50 | 0.5 |
| 40 | 60 | 0.3 |
The probability distribution for X+Y is obtained as given below:
In similar way, the remaining values are obtained.
| x+y | P(x+y) |
| 130 | 0.2 |
| 80 | 0.5 |
| 100 | 0.3 |
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