Suppose the prevalence of alcoholism among college students is 20% among those living in group housing and 5% among those living in other situations such as an apartment or at a parent's house. Suppose also that 25% of college students live in group housing.    a. What is the probability that a randomly selected college student has alcoholism and lives in group housing?  b. What is the overall prevalence of alcoholism among college students?   c. Among those college students with alcoholism, what proportion lives in group housing?

4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?

3. A survey of a sample of 637 people is conducted. The survey's respondents are classified according to percent of income devoted to housing cost and residence type. The results are given in the table below. Apartment Duplex Single Family Total 20% 47 18 81 146 Total 220 85 332 637 When answering the following questions, please round your answers to one decimal place. What is the probability that a randomly selected person from the survey: a. spends 10-20% of their income on housing? b. lives in a single-family residence or spends more than 20% of their income on housing?

36. Vaccine For a specific group of subjects, there is a 5% chance of influenza (“flu”). When 80 subjects were treated with a vaccine, only one of them presented with influenza. b. Find the probability of exactly one subject experiencing influenza, assuming that the vaccine has no effect. c. Find the probability of one or fewer subjects experiencing influenza, assuming that the vaccine has no effect.

10) According to the American Academy of Ophthalmology, there is a 45% chance that someone will have brown eyes. What is the probability that all of the next seven people selected will have brown eyes?

5.Approximately 64% of the people murdered actually knew their murderer.  Given 63 current unsolved murders, what is the probability that at least (equal to and more than) 35 victims knew their murderer?

Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?

2. A shipment of twelve smartphones contains seven with cracked screens. If sold in a randomorder, what is the probability that exactly four of the first six sold have cracked screens?