Suppose it is known that 3% of cigatette smokers develop lung cancer, whereas only 0.5% of non-smokers develop lung cancer. Furthermore, suppose that 30% of adults smoke. If it is known that a randomly chosen adult had developed lung cancer, what is the probability that the person is a smoker? Anr: (0 72)
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- The fraction of a large population that has a specific blood type T is .08 (8%). For blood donation purposes it is necessary to find 4 people with type T blood. If randomly selected individuals from the population are tested one after another, then (a) What is the probability y persons have to be tested to get 5 type T persons, and (b) What is the probability that over 80 people have to be tested?It has been determined that the probability of a hurricane occuring on a certain day in a certain area is 4%. What is the probability that a hurricane does not occur on that day?In the current campaign period, suppose a random person is selected, based on previous survey, there is a 0.65 probability that this person is a Duterte supporter. If 10 people are selected randomly, determine the probability that exactly 4 are Duterte Supporters.
- A production line stops operating once a defective item is produced. The probability of producing a defective item is 0.001. What is the probability that the line stops production on the 1000 item produced.Suppose that Stephen makes 95% of his free throws. Assume that late in a basketball game, he is fouled and is awarded two shots. (a) What is the probability that he will make both shots? (b) What is the probability that he will make at least one shot? (c) What is the probability that he will miss both shots? (d) Late in a basketball game, a team often intentionally fouls an opposing player in order to stop the game clock. The usual strategy is to intentionally foul the other team's worst free- throw shooter. Assume that Stephen's team's center makes 57% of his free-throw shots. Calculate the probabilities for the center as shown in parts (a), (b), and (c). Assume as in parts (a), (b), and (c) that two shots will be awarded. P(center makes two shots) = P(center makes at least one shot) = P(center misses both shots) =62% of Armenian students own a personal computer. What is the probability that the proportion of students that do not have personal computer in the sample of 25 students is less than 40%?
- Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxxQ1. It is reported that the percentage of people in a small village that have health insurance is 80%. If 17 people are randomly selected, the find the following (a) The probability that 7 of them have health insurance. (b) The probability that at least 10 have health insurance.Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
- Assume that 2% of the Brazilian population had dengue fever and that a test correctly identified the fever 95% of the time. Assume that a false positive occurred 5% of the time. If a person tested positive for the fever, what was the probability that the person actually had the fever?Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular disease is 20%. Suppose also that 5% of people in the U.S. have both diabetes and cardiovascular disease. Suppose Jack has diabetes. What is the probability that he also has cardiovascular disease?Suppose a basketball player makes 57.7% of shots and that the probabilty of making each shot is independent. If the basketball player attempts 3 shots, what is the probability of making at least one shot? Enter your answer rounded to at least 4 decimals.