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A professor has noticed that students that attend class regutarly, miss no more than two classes per term, generally get better grades. For the class, the overall percent of students who attend regularly is 78%. Of those who come to dass on a regular basis、39% receive A, Of those who dont attend regulaty, orly 10% get As. Draw a tree diagram like the one in the image, where RTatteeds class regularty attend class regularly, A earned an A, A - id not earn an A
(a) Based on your tree diagram fill in the appropriate matching probabilities, enter your answer as a proportion with three decimal places. A. or P(R) B, or P(R): C. or P(AIR) D. or P(AIR) E. or P(AIR F, or P(AIR) (b)Among all students what proportion earn an A and dont attend class regularly? (c)What is the chance a randomly chosen student will earn an A in the class? L (d) Given a student earned an A, what is the chance they attend class regulary? Hint: Use the total law of probability Hint: PRIA)
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