Question 3 10 points Q fever is a common infectious disease caused by bacteria that can be spread from ani- mals to huma

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Question 3 10 Points Q Fever Is A Common Infectious Disease Caused By Bacteria That Can Be Spread From Ani Mals To Huma 1 (173.7 KiB) Viewed 104 times

Question 3 10 points Q fever is a common infectious disease caused by bacteria that can be spread from ani- mals to humans. In Australia, Q fever is commonly found in livestock (cattle, sheep and goats) but other animals including domestic and feral dogs and cats, feral pigs, horses, rabbits, rodents, alpacas, camels, llamas, foxes, Australian native wildlife (notably kan- garoos, wallabies and bandicoots), some birds and several species of ticks can also spread the bacteria to humans. Suppose 10% of a population of feral dogs in western New South Wales are infected with the virus. (a) (2 points) What is a plausible probability distribution for X, the number of feral dogs infected with Q fever in western New South Wales? (b) (3 points) How many dogs would have to be tested to be at least 90% certain of finding at least one infected individual? (c) A random sample of 30 dogs are tested from this population. (a) (2 points) Explain briefly why it is appropriate to model the number of infected dogs in this sample using a binomial distribution, and (b) (3 points) If you found 8 infected dogs in this sample, would you continue to believe that infected dogs follow a binomial distribution with 0.10? Explain your answer. р =