If X is a negative binomial rv, then Y= r+X is the total number of trials necessary to obtain r S’s. Obtain the mgf of Y and then its mean value and variance. Are the mean and variance intuitively consistent with the expressions for E(X) and V(X)? Explain
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.
If X is a negative binomial rv, then Y= r+X
is the total number of trials necessary to obtain
r S’s. Obtain the mgf of Y and then its
and variance. Are the mean and variance intuitively consistent with the expressions for E(X)
and V(X)? Explain
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