Suppose you are developing a convenient-home-test-for-blood-alcohol·levels. It could be useful. for telling when someone is too inebriated to safely-drive home, but you aren't sure how. accurate the test is. By design, the test should be positive when blood alcohol·level-is-above. 0.05%. The test has been used·on·a·large·number·of·subjects where·a·more expensive,·less· convenient test is known to give perfectly accurate results. The table below.shows the. proportions for the outcome of the new test-and-true-blood-alcohol-status: TestResult Positive Negative BAC Over 0.05 0.12 0.03 BAC Under 0.05 0.21 0.64 1. What is the probability that a randomly selected subject has both a positive-test-and-a-blood. alcohol·level-higher than 0.05%?. 2. For a randomly selected subject, what is the probability that the test will be positive? 3. Among subjects who have a positive test, what is the probability that·a·subject·has.a.blood. alcohol·level-higher than 0.05%?

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Suppose you are developing a convenient-home-test-for-blood-alcohol·levels. It could be useful.
for telling when someone is too inebriated to safely drive home, but you aren't sure how.
accurate the test is. By design, the test should be positive when blood-alcohol·level.is above.
0.05%. The test has been used on a large number of subjects where a more expensive,.less.
convenient test is known to give perfectly accurate results. The table below shows.the.
proportions for the outcome of the new test and true-blood-alcohol.status:
TestResult
Positive
Negative
www
www
BAC_Over_0.05
0.12
0.03
BAC Under 0.05
0.21
0.64
1. What is the probability that a randomly selected subject has both a positive test and a blood.
alcohol·level higher than 0.05%?.
2. For a randomly selected subject, what is the probability that the test will·be·positive?
3. Among subjects who have a positive test, what is the probability that a subject has.a.blood.
alcohol·level.higher than 0.05%?
Transcribed Image Text:Suppose you are developing a convenient-home-test-for-blood-alcohol·levels. It could be useful. for telling when someone is too inebriated to safely drive home, but you aren't sure how. accurate the test is. By design, the test should be positive when blood-alcohol·level.is above. 0.05%. The test has been used on a large number of subjects where a more expensive,.less. convenient test is known to give perfectly accurate results. The table below shows.the. proportions for the outcome of the new test and true-blood-alcohol.status: TestResult Positive Negative www www BAC_Over_0.05 0.12 0.03 BAC Under 0.05 0.21 0.64 1. What is the probability that a randomly selected subject has both a positive test and a blood. alcohol·level higher than 0.05%?. 2. For a randomly selected subject, what is the probability that the test will·be·positive? 3. Among subjects who have a positive test, what is the probability that a subject has.a.blood. alcohol·level.higher than 0.05%?
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Given data is

Test Result BAC Over 0.05 BAC Under 0.05
Positive 0.12 0.21
Negative 0.03 0.64
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Suppose you are developing a convenient-home-test-for-blood-alcohol·levels. It could be useful.
for telling when someone is too inebriated to safely drive home, but you aren't sure how.
accurate the test is. By design, the test should be positive when blood-alcohol·level.is above.
0.05%. The test has been used on a large number of subjects where a more expensive,.less.
convenient test is known to give perfectly accurate results. The table below shows.the.
proportions for the outcome of the new test and true-blood-alcohol.status:
TestResult
Positive
Negative
www
www
BAC_Over_0.05
0.12
0.03
BAC Under 0.05
0.21
0.64
1. What is the probability that a randomly selected subject has both a positive test and a blood.
alcohol·level higher than 0.05%?.
2. For a randomly selected subject, what is the probability that the test will·be·positive?
3. Among subjects who have a positive test, what is the probability that a subject has.a.blood.
alcohol·level.higher than 0.05%?
Transcribed Image Text:Suppose you are developing a convenient-home-test-for-blood-alcohol·levels. It could be useful. for telling when someone is too inebriated to safely drive home, but you aren't sure how. accurate the test is. By design, the test should be positive when blood-alcohol·level.is above. 0.05%. The test has been used on a large number of subjects where a more expensive,.less. convenient test is known to give perfectly accurate results. The table below shows.the. proportions for the outcome of the new test and true-blood-alcohol.status: TestResult Positive Negative www www BAC_Over_0.05 0.12 0.03 BAC Under 0.05 0.21 0.64 1. What is the probability that a randomly selected subject has both a positive test and a blood. alcohol·level higher than 0.05%?. 2. For a randomly selected subject, what is the probability that the test will·be·positive? 3. Among subjects who have a positive test, what is the probability that a subject has.a.blood. alcohol·level.higher than 0.05%?
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