Maria and John have decided that once they live in a house, they want to have a pet. They go to an animal shelter and find several pets that they would love to take home. There are 25 cats, 4 flat coat retrievers, 8 labrador retrievers, and 10 mixed-breed dogs. Answer each of the following questions separately, showing all your work to reach each answer. A. Since they can’t decide, they place all the adoption cards in a container and draw one. What is the probability that they select a cat? B. Since they can’t decide, they place all the adoption cards in a container and draw one. What is the probability that they select either a flat coat retriever or a labrador retriever? C. Since they can’t decide, they place all the adoption cards in a container and draw one. What is the probability that if they select a dog, that it is not a mixed breed? D. If they decide to purposely choose 2 of the 22 available dogs rather than randomly choosing any 2, how many combinations of 2 dogs are possible?
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.
Maria and John have decided that once they live in a house, they want to have a pet. They go to an animal shelter and find several pets that they would love to take home. There are 25 cats, 4 flat coat retrievers, 8 labrador retrievers, and 10 mixed-breed dogs.
Answer each of the following questions separately, showing all your work to reach each answer.
A. Since they can’t decide, they place all the adoption cards in a container and draw one. What is the probability that they select a cat?
B. Since they can’t decide, they place all the adoption cards in a container and draw one. What is the probability that they select either a flat coat retriever or a labrador retriever?
C. Since they can’t decide, they place all the adoption cards in a container and draw one. What is the probability that if they select a dog, that it is not a mixed breed?
D. If they decide to purposely choose 2 of the 22 available dogs rather than randomly choosing any 2, how many combinations of 2 dogs are possible?
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