(b) What is the probability that a randomly selected household in this rural county has two or more dogs? (.26) (c) Four houses in this rural county are selected at random. Assuming that the numbers of dogs in these four houses are independent, what is the probability that none of the selected houses has a dog? (0.023) (d) Four houses in this rural county are selected at random. Assuming that the numbers of dogs in these four houses are independent, what is the probability that at least one of the selected houses has a dog? (0.977) 8. (Bayes' Thm) Suppose that 70% of women purchasing in-home pregnancy tests are pregnant. Since these tests have a 98% accuracy rating, they will detect 98% of pregnant women. Furthermore, of the women purchasing in-home pregnancy tests who aren't actually pregnant, the test says that 98% of them aren't pregnant. What is the probability that a woman whose test indicates that she is pregnant actually is? (.99) 9. (Normal Approximation to Binomial) In a city, 20% of the workers have incomes over $40,000 per year. If 1600 workers are chosen at random with replacement, what is the chance that between 320 and 336 of those chosen have incomes over $40,000 per year? (3413) 10. (CI Proportion) You are hired by the university to estimate the % of students that oppose the tobacco-free policy at UOG. How many students should you sample to be 95% confident of falling within +/- 2 percentage points of the true population percentage? (2401) 11. (CI Proportion) A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use a 90% confidence interval to estimate the true non rion of students an financialAid ($328364072031