What is the probability that the household owns a dog given that it owns a cat explain your answer?

The probability that a randomly selected family owns a cat is 28\%. The conditional probability that a randomly selected family owns a dog, given that it doesn’t own a cat, is approximately 27.8\%.

What is the set of all possible outcomes of a probability experiment?

The set of all possible outcomes of an experiment is called the sample space. Events are subsets of the sample space, and they are assigned a probability that is a number between zero and one, inclusive.

When two events are independent the probability of both occurring is?

When two events are independent, the probability of both occurring is the product of the probabilities of the individual events. where P(A and B) is the probability of events A and B both occurring, P(A) is the probability of event A occurring, and P(B) is the probability of event B occurring.

What is the probability that a random person owns a dog or a cat?

Therefore, the probability of dog or cat ownership is Pr(A or B) = 0.3 + 0.35 ! 0.15 = 0.5; 50\% of households would own either a dog or cat. When events are mutually exclusive, the addition law states that the probability of the occurrence of two or more events is found by adding their separate probabilities.

How many households have at least one dog and one cat?

1. According to the American Pet Products Manufacturers Association (APPMA) 2003-2004 National Pet Owners Survey, 39\% of U.S. households own at least one dog and 34\% of U.S. households own at least one cat. Assume that 60\% of U.S. households own a cat or a dog.

What are the 2 requirements for a discrete probability distribution?

What are the two requirements for a discrete probability distribution? The first rule states that the sum of the probabilities must equal 1. The second rule states that each probability must be between 0 and 1, inclusive. Determine whether the random variable is discrete or continuous.

How do you find all possible outcomes?

To find the total number of outcomes for two or more events, multiply the number of outcomes for each event together. This is called the product rule for counting because it involves multiplying to find a product.

How many pets does the average household have?

Most dog-owning households have one dog. 42.7 million or 35.7\% of households own cats. Cat owning households keep an average of 2 cats each. 11.5 million or 9.6\% of households own freshwater fish. Freshwater fish owners keeps an average of 12 fish. 5.7 million or 4.8\% keep birds. Between 3 and 4 birds live in the average bird-owning household.

What percentage of households own cats and fish?

42.7 million or 35.7\% of households own cats. Cat owning households keep an average of 2 cats each. 11.5 million or 9.6\% of households own freshwater fish. Freshwater fish owners keeps an average of 12 fish. 5.7 million or 4.8\% keep birds. Between 3 and 4 birds live in the average bird-owning household.

What state has the highest percentage of pet owners?

Household Pet Ownership by State State \% of Pet-Owning Households \% of Pet-Owning Households \% of Pet-Owning Households 4 Idaho 69.9\% 33.3\% 34.4\% 5 Indiana 69.2\% 49.4\% 37.5\% 6 Arkansas 69.0\% 51.6\% 34.8\% 7 Mississippi 65.5\% 51.0\% 29.1\%

How many Americans don’t have pet insurance?

The company’s survey found that almost three-quarters of animal owners do not have pet insurance. Sixty-seven percent of U.S. households, or about 85 million families, own a pet, according to the 2019-2020 National Pet Owners Survey conducted by the American Pet Products Association (APPA).