1. -/1 points WaneFM7 7.5.023. My Notes Ask Your Teacher Use the counting techniques from the last chapter. A bag contains four red marbles, two green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs five at random. Find the probability of the indicated event. She gets all the red ones, given that she gets the fluorescent pink one. 2. -/1 points WaneFM7 7.5.028. My Notes Ask Your Teacher Use the counting techniques from the last chapter. A bag contains three red marbles, two green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets at least two red ones, given that she gets at least one green one. 3. -/1 points WaneFM7 7.5.049. My Notes Ask Your Teacher According to a certain news poll, 75% agreed that it should be the government's responsibility to provide a decent standard of living for the elderly, and 44% agreed that it would be a good idea to invest part of their Social Security taxes on their own. If agreement with one of these propositions is independent of agreement with the other, what is the probability that a person agreed with both propositions? (Round your answer to two decimal places.) HINT [See Quick Examples 4 and 5.] -11 points WaneFM7 7.5.061. My Notes Ask Your Teacher The table shows the results of a survey of 100 authors by a publishing company. New Authors Established Authors Total Successful 10 30 40 Unsuccessful 10 50 60 Total 20 80 100 Compute the following conditional probability. An unsuccessful author is established. 5. -/1 points WaneFM7 7.6.011. My Notes Ask Your Teacher Suppose that it snows in Greenland an average of once every 22 days, and when it does, glaciers have a 24% chance of growing. When it does not snow in Greenland, glaciers have only a 9% chance of growing. What is the probability that it is snowing in Greenland when glaciers are growing? (Round your answer to four decimal places.) 6. -/1 points WaneFM7 7.6.013.MI. My Notes Ask Your Teacher In fall 2014, 32% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 18% with a Math SAT of less than 700 were admitted. Further, 38% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more? (Round your answer to the nearest percentage point.) % 7. -/1 points WaneFM7 7.6.012. My Notes Ask Your Teacher Suppose that it rains in Spain an average of once every 11 days, and when it does, hurricanes have a 4% chance of happening in Hartford. When it does not rain in Spain, hurricanes have a 3% chance of happening in Hartford. What is the probability that it rains in Spain when hurricanes happen in Hartford? (Round your answer to four decimal places.) 8. -/1 points WaneFM7 8.1.023. My Notes Ask Your Teacher Give the probability distribution for the indicated random variable. HINT [See Example 3.] (Enter your probabilities as fractions.) Three fair coins are tossed, and X is the square of the number of heads showing. х 0 1 4 9 P(X = x) Draw the corresponding histogram. P(X)=x 0.47 P(X)=x 0.41 0.3 0.3 0.2 0.2 0.1 0.1 х Х 9 4 9 P(X)=x 0.57 P(X)=x 0.51 0.4 0.4 0.3 0.3 0.2 0.2 X X 4 9 9 Calculate P(1 S XS 4). (Enter your probability as a fraction.) P(1 S XS 4) = 9. -/1 points WaneFM7 8.1.025. My Notes Ask Your Teacher Give the probability distribution for the indicated random variable. HINT (See Example 3.] (Enter your probabilities as fractions.) A red die and a green die are rolled, and X is the sum of the numbers facing up. х 2 3 4 5 6 7 8 9 10 11 12 P(X = x) Draw the corresponding histogram. P(X)=x P(X)=x 0.2 0.2 0.15 0.15 0.1 0.17 х х 2 3 4 5 6 7 8 9 10 11 12 2 3 4 5 6 7 8 9 10 11 12 O P(X)=x P(X)=x 0.151 0.15 0.1 0.1 0.05 0.05 X X 2 3 4 5 6 7 8 9 10 11 12 2 3 4 5 6 7 8 9 10 11 12 Calculate P(x + 2). (Enter your probability as a fraction.) P(X + 2) =
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