In a certain community, 35% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 37% of all the families own a cat. a)What is the probability that a randomly selected family owns both a dog and a cat? b)What is the conditional probability that a randomly selected family owns a dog diven that it doesn't own a cat?
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.
In a certain community, 35% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 37% of all the families own a cat.
a)What is the probability that a randomly selected family owns both a dog and a cat?
b)What is the conditional probability that a randomly selected family owns a dog diven that it doesn't own a cat?
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