QUESTION 2 dependent - independent events a. choosing out of population of millions. Within this population, 10%of the population has this disease. We furthermorevassume these individuals are evenly...

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Extracted text: QUESTION 2 dependent - independent events a. choosing out of population of millions. Within this population, 10%of the population has this disease. We furthermorevassume these individuals are evenly distributed throughout this population. We choose 3 individuals at random from this large population. (Since the population is large, we assume each of the three choices are independent, with the same probability.) Find the probability þat all 3 have the disease; the probabiliþ 2 of the 3 have the disease. b. We now choose the 3 individuals from a smaller group that has the same proportion as the larger population. This group of size 20 then has 2 individuals with the disease and 18 without. Now we must use the multiplication rule with conditional probability. (In the second stage, 1 individual is already removed from yhis smaller group, and the choice is out of 18. For the third individual, the choice is out of 18 individuals.) Three individuals are chosen. Find the probabilitu of 2 with the disease; of all 3 with the disease.