Tree Diagrams_WS university.pdf

# Pass 8 fail 2 study 72 doesnt study 28 study 31

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problem and then answer the following questions. Pass - .8 Fail - .2 Study - .72 Doesn’t study- .28 Study - .31 Doesn’t study - .69 .576 .224 .062 .138 Find the probability that a) a student studies - .638 b) a student doesn’t study - .362 c) if a student studies, he passes - .576 .638 = .903 d) if a student studies, he fails - .062 .638 = .097 e) if a student doesn’t study, he fails .138 .362 = .381 f) if a student doesn‘t study, he passes - .224 .362 = .619

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Stu Schwartz 3. I take a true false test. I studied for it and feel well prepared for it. I estimate that I have a 90% chance of getting a problem correct. On questions I don’t know, I will guess. Make a tree diagram for this problem and then answer the following questions. Know the answer - .85 Guess - .15 Correct .85 Correct - .5 Incorrect .5 .075 .075 Find the probability that a) I answer a question correctly - .925 b) If I got the question correct, it is because I knew it.- .85 .925 = .919

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Stu Schwartz 4. A prominent university decides admissions according to the following criteria.
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