Answer
A marginal distribution.
A marginal distribution of a variable is a frequency or relative frequency distribution of either the row or column variable in the contingency table.
A conditional distribution.
The conditional distribution is the probability distribution,given a fixed value of another random variable. So, in order to obtain the conditional distribution of a variable, the probability of that variable is computed according to the condition that another variable is imposed on it. Conditional distribution probabilities can be calculated by using the following formula:
\[\left( \begin{align}
& \text{Conditional probability of }{{x}_{j}}\text{ variable} \\
& \text{ for given value of }{{y}_{i}}\text{ variable} \\
\end{align} \right)=\frac{\text{Joint frequency of }{{x}_{j}}\text{ and }{{y}_{i}}}{\text{Total frequency of }{{x}_{j}}}\]
Work Step by Step
Given above.
