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2. Determine whether the events are independent or dependent. (a) Not putting mo

ID: 3059210 • Letter: 2

Question

2. Determine whether the events are independent or dependent. (a) Not putting money in a parking meter and getting a parking ticket (b) A ball numbered from 1 through 52 is selected from a bin, replaced, and then a second numbered ball is selected from the bin. 3. A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2 4. In a survey, 510 adults were asked whether they drive a pickup truck and whether they drive a Ford. The results showed that three in ten adults surveyed drive a Ford. Of the adults surveyed that drive Fords, two in nine drive a pickup truck. Find the probability that a randomly selected adult drives a Ford and drives a pickup truck. 5. In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S. adults are selected at random without replacement. (a) Find the probability that all four adults are very confident in the nutritional information on restaurant menus. (b) Find the probability that none of the four adults are very confident in the nutritional information on restaurant menus. (c) Find the probability that at least one of the four adults is very confident in the nutritional information on restaurant menus. 6. A doctor gives a patient a 60% chance of surviving bypass surgery after a heart attack. If the patient survives the surgery, then the patient has a 50% chance that the heart damage will heal. Find the probability that the patient survives surgery and the heart damage heals.

Explanation / Answer

2. Determine whether the events are independent or dependent. (a) Not putting money in a parking meter and getting a parking ticket (b) A ball numbered from 1 through 52 is selected from a bin, replaced, and then a second numbered ball is selected from the bin. 3. A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2 4. In a survey, 510 adults were asked whether they drive a pickup truck and whether they drive a Ford. The results showed that three in ten adults surveyed drive a Ford. Of the adults surveyed that drive Fords, two in nine drive a pickup truck. Find the probability that a randomly selected adult drives a Ford and drives a pickup truck. 5. In a sample of 1000 U.S. adults, 150 said they are very confident in the nutritional information on restaurant menus. Four U.S. adults are selected at random without replacement. (a) Find the probability that all four adults are very confident in the nutritional information on restaurant menus. (b) Find the probability that none of the four adults are very confident in the nutritional information on restaurant menus. (c) Find the probability that at least one of the four adults is very confident in the nutritional information on restaurant menus. 6. A doctor gives a patient a 60% chance of surviving bypass surgery after a heart attack. If the patient survives the surgery, then the patient has a 50% chance that the heart damage will heal. Find the probability that the patient survives surgery and the heart damage heals.

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