Unit 3 Lesson 1Assignment 1. Government data assigns a single cause for each death that occurs in the United States. Thedata shows that the probability is 0.45 that a randomly chosen death was due to cardiovascular(mainly heart) disease, and 0.22 that it was due to cancer. What is the probability that a death was due either to cardiovascular disease or to cancer? [x] What is the probability that the death was due to some other cause? [y]2. In each of the following situations, describe a sample space S for the random phenomenon. (a) The Physicians’ Health Study asked 11,000 physicians to take an aspirin every other day andobserved how many of them had a heart attack in a five-year period.(b) In a test of a new package design, you drop a carton of a dozen eggs from a height of 1 footand count the number of broken eggs.3. In each of the following situations, state whether or not the given assignment of probabilitiesto individual outcomes is a legitimate discrete probability model. A) [x] When a coin is spun, P(H) = 0.55 and P(T) = 0.45.B) [y] When two coins are tossed, P(HH) = 0.4, P(HT) = 0.4, P(TH) = 0.4, and P(TT) = 0.4.C) [z] When a die is rolled, the number of spots on the up-face has P(1) = 1/2, P(4) = 1/6, P(5) =1/6, and P(6) = 1/6 4. Las Vegas Zeke, when asked to predict the Atlantic Coast Conference basketball champion,follows the modern practice of giving probabilistic predictions. He says, North Carolina’sprobability of winning is twice Duke’s. North Carolina State and Virginia each have probability0.1 of winning, but Duke’s probability is three times that. Nobody else has a chance.Find the probability for each teamNorth Carolina = [v] Duke = [w]North Carolina State= [x]Virginia = [y]5. Las Vegas Zeke, when asked to predict the Atlantic Coast Conference basketball champion,follows the modern practice of giving probabilistic predictions. He says, North Carolina’sprobability of winning is twice Duke’s. North Carolina State and Virginia each have probability0.1 of winning, but Duke’s probability is three times that. Nobody else has a chance. Use the probabilities you already found to answer: Has Zeke given a legitimate assignment ofprobabilities to the eight teams in the conference? Explain your answer.6. The probabilities below describe the chance of each excuse for a student missing class.Event Absent Trip Skipping Work OtherProbability .55 .23 .11 .04 ? What is the probability a student misses school for an ‘Other’ reason? [w]What is the probability that a student is NOT skipping? [y] What is the probability that a student is absent or on a field trip? [z]
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