Construct a copy of figure 3.16 in your text, where the first outcome is one of X and Y the second outcome is one of A and B if the first outcome is X, and one of A, B, and C if the first outcome is Y. Use the following probabilities instead of those given in your text: Pr[X]=0.7Pr[X]=0.7 Pr[Y]=0.3Pr[Y]=0.3 Pr[A|X]=0.3Pr[A|X]=0.3 Pr[B|X]=0.7Pr[B|X]=0.7 Pr[A|Y]=0.5Pr[A|Y]=0.5 Pr[B|Y]=0.4Pr[B|Y]=0.4 Pr[C|Y]=0.1Pr[C|Y]=0.1 (3) Pr[Y|B]=Pr[Y|B]= (4) Pr[B|Y]=Pr[B|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.
Construct a copy of figure 3.16 in your text, where the first outcome is one of X and Y the second outcome is one of A and B if the first outcome is X, and one of A, B, and C if the first outcome is Y. Use the following probabilities instead of those given in your text:
Pr[X]=0.7Pr[X]=0.7
Pr[Y]=0.3Pr[Y]=0.3
Pr[A|X]=0.3Pr[A|X]=0.3
Pr[B|X]=0.7Pr[B|X]=0.7
Pr[A|Y]=0.5Pr[A|Y]=0.5
Pr[B|Y]=0.4Pr[B|Y]=0.4
Pr[C|Y]=0.1Pr[C|Y]=0.1
(3) Pr[Y|B]=Pr[Y|B]=
(4) Pr[B|Y]=Pr[B|Y]=
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