Suppose that 50% of households in a certain city subscribe to the morning newspaper, 70% of the household subscribe to the afternoon newspaper, and 80% of the household subscribe to at least one of the two newspapers. What proportion of the households subscribe to both newspapers?
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.
Suppose that 50% of households in a certain city subscribe to the morning newspaper, 70% of the household subscribe to the afternoon newspaper, and 80% of the household subscribe to at least one of the two newspapers. What proportion of the households subscribe to both newspapers?
From the provided information,
50% of households in a certain city subscribe to the morning newspaper.
Let A represents this event, then P (A) = 0.50
70% of the household subscribe to the afternoon newspaper.
Let B represents this event, then P (B) = 0.70
80% of the household subscribe to at least one of the two newspapers.
That is P (A Ս B) = 0.80
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