1) Letxbe a binomial random variable withn=5,p=0.3.Find the following values. (Round your answers to three decimal places.)

P(x> 1)

P(x> 1) =

2) Consider a Poisson random variable with=0.8. UseTable 2in Appendix I to find the following probabilities. (Round your answers to three decimal places.)

P(1x4) =

3) 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 that15households are randomly selected for a pet ownership survey.

(a) What is the probability that exactlysevenof the households have at least one dog? (Round your answer to three decimal places.)

(b) What is the probability that at mostsixof the households have at least one dog? (Round your answer to three decimal places.)