# Quiz 4 Solutions - STAT 225 Quiz 4 Mon March 3 2014...

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1 STAT 225, Quiz 4 Mon. March 3, 2014 Name (please print) ________________________ Class Time: _________________ Directions: You have 10 minutes to complete the quiz. Show all work to receive full credit. Instructors will not interpret questions for you. Write out the probability statement and show work. Use 4 decimal places in your answers. According to census data, 67% of people in Austria live in cities. Austrians from all over the country attend an annual national festival. A survey taker at the festival has a set of questions that are to be answered only by city dwellers. The survey taker will randomly ask people whether they live in a city and if they do, he will ask them the rest of the survey questions. Each person at the festival is independent of the others. Let C be the number of people that the survey taker must ask before he finds his first city dweller. a)State the distribution and parameter(s) of C. What is the support for C? (3 pts)
b)Given that it takes more than 5 people to find the first city dweller, what is the probability that it takes at least 8? (5 pts)
c)The survey taker needs to find 10 city dwellers to get paid. What is the probability that he must ask exactly 16 people to get paid (4 pts)