Math1313-Test4Review-filled

# Math1313-Test4Review-filled - Math 1313 Finite Math Test 4...

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Math 1313 Finite Math Test 4 Supplemental Review 1. Let A and B be events in a sample space S. Suppose that P ( A ) = .45 , P ( B ) = .38, and = . 21. Find each of the following: ) ( B A P a. ) | ( B A P b. ) | ( A B P c. ) | ( c B A P d. ) | ( c A B P 2. Suppose A and B are independent events and 25 . ) ( = A P and 35 . ) ( = B P . Find each of the following: a. ) ( B A P b. ) ( B A P 3. A pair of fair dice is cast. Let E denote the event that the number landing uppermost on the first die is a 5 and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independent events. 4. Suppose that five green marbles and 8 yellow marbles are placed in an urn. An experiment consists of drawing 2 marbles from the urn in succession and without replacement. What is the probability that a. both marbles drawn are the same color? b. the second marble drawn is green? c. the second marble drawn is green, given that the first marble drawn was yellow? 5. In a survey of 1000 eligible voters selected at random, it was found that 62% had a college degree. Additionally, the survey results showed that of the eligible voters who had a college degree, 85% voted in the most recent senatorial election. Furthermore, only 42% of the eligible voters without a college degree voted in the same election. Based on this information and assuming it is representative of the general voting population, find the probability that a randomly selected eligible voter a. voted in the last senatorial election. b. has a college degree and did not vote in the last senatorial election. c. does not have a college degree and did not vote in the last senatorial election. 6. Use the same information as for problem 5 to answer these questions. a. Find the probability that a randomly selected eligible voter has a college degree if it is known that s/he voted in the last senatorial election. b. Find the probability that a randomly selected eligible voter does not have a college degree if it is known that s/he did not vote in the last senatorial election. Math 1313: Test 4 Supplemental Review 1

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7. A national research institute published a study that showed that 45% of 10-year-olds had never had a cavity, 39% of 11-year-olds had never had a cavity, and 32% of 12-year-olds had never had a cavity. If a child is selected at random from a group of fourteen 10-year-olds, eighteen 11-year-olds and nine 12-year olds, and this child does not have a cavity, what is the probability that the child is 12 years old? 8. Families in a certain community were surveyed. In this community 98% indicated that they own more than 2 vehicles. Of those that own more than 2 vehicles, 84% are a family of more than 2. Of those that do not own more than 2 vehicles, 31% are not a family of more than 2. If a family is chosen at random, what is the probability that that family a. does not own more than 2 vehicles? b.
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Math1313-Test4Review-filled - Math 1313 Finite Math Test 4...

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