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Mans Best Friend According to the HumaneSociety of the
Chapter 5, Problem 34(choose chapter or problem)
Mans Best Friend According to the HumaneSociety of the United States, there are approximately77.5 million owned dogs in the United States, andapproximately 40% of all U.S. households own at leastone dog.4 Suppose that the 40% figure is correct andthat 15 households are randomly selected for a petownership survey.a. What is the probability that exactly eight of thehouseholds have at least one dog?b. What is the probability that at most four of thehouseholds have at least one dog?c. What is the probability that more than 10 householdshave at least one dog?
Questions & Answers
QUESTION:
Mans Best Friend According to the HumaneSociety of the United States, there are approximately77.5 million owned dogs in the United States, andapproximately 40% of all U.S. households own at leastone dog.4 Suppose that the 40% figure is correct andthat 15 households are randomly selected for a petownership survey.a. What is the probability that exactly eight of thehouseholds have at least one dog?b. What is the probability that at most four of thehouseholds have at least one dog?c. What is the probability that more than 10 householdshave at least one dog?
ANSWER:Step 1 of 4
Given that,
According to the Humane Society of the United States, there are approximately 77.5 million owned dogs in the United States, and approximately 40% of all U.S. households own at least one dog. Suppose that the 40% figure is correct and that 15 households are randomly selected for a pet ownership survey.
Let:
X = number of households that own at least one dog
So, X follows binomial distribution with parameters n = 25 and p = 0.40.
The binomial probability formula is:
