At the beginning of the semester, a professor tells students that if they study for the...

  

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At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram, The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied for the test if they pass it with a B or higher? Random student 0.6 0.4 Studies for test Does not study for test 0.55 0.45 0.20 0.80 Gets B or higher Does not get B or higher Gets B or higher Does not get B or higher At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram, The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied for the test if they pass it with a B or higher? Random student 0.6 0.4 Studies for test Does not study for test 0.55 0.45 0.20 0.80 Gets B or higher Does not get B or higher Gets B or higher Does not get B or higher

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Using Bayes Theorem PA PBA PAB PB Where PA i s the probability of studying for the t... View the full answer