As of 2019 the distribution of the U.S. population by race and ethnicity is as follows: White: .601 Hispanic: .185 Black: .122 Asian: .056 Others: .036 Assume that the races and ethnicity of two randomly selected individuals are independent of one another. 1. What is the probability that both are Asian? 2. What is the probability that the races and ethnicity of two randomly selected individuals match? 3. If the first individual is not from Others group, what is the probability that the second individual also will not be a Hispanic? Explain your reasoning. [Hint: Use the definition of independence and the fact that if A and B are independent then A' and B' are independent too.]
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.
1. As of 2019 the distribution of the U.S. population by race and ethnicity is as follows:
White: .601
Hispanic: .185
Black: .122
Asian: .056
Others: .036
Assume that the races and ethnicity of two randomly selected individuals are independent of one another.
1. What is the
2. What is the probability that the races and ethnicity of two randomly selected individuals match?
3. If the first individual is not from Others group, what is the probability that the second individual also will not be a Hispanic? Explain your reasoning. [Hint: Use the definition of independence and the fact that if A and B are independent then A' and B' are independent too.]
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