Suppose that in a certain small town it either rains or is sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with a probability of 0.3. If it rains, it will be sunny the next day with a probability of 0.4. Answer the following questions: 1. Suppose that the weatherman estimates there is an 80% chance of showers today. Find the probability vector representing this estimation where state 1 is sunny and state 2 is rainy

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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.