3.13 Joint and conditional probabilities. P(A) = 0.3, P(B) = 0.7 (a) Can you compute P(A and B) if you only know P(A) and P(B)? b) Assuming that events A and B arise from independent random processes, i. what is P(A and B)? ii. what is P(A or B)? ii. what is P(A|B)? (e) If we are given that P(A and B) = 0.1, are the random variables giving rise to events A and B indepen- dent? d) If we are given that P(A and B) = 0.1, what is P(A|B)?

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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.