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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www.MasterMathMentor.com Stu Schwartz 2. It is estimated that 4% of people who spend time in the woods will get Lyme disease. Of people with Lyme disease, the test to determine if you have it is will. giive a positive reading 97% of the time. Of people who do not have Lyme disease, the same test will give a negative rating 92% of the time. Make a tree diagram for this problem and then answer the following questions. Lyme disease - .04 No Lyme disease -.96 Pos. reading - .97 Neg. reading - .03 .0388 .0012 .8832 .0768 Neg reading. - .92 Pos reading - .08 Find the probability that a) a person gets a positive reading - .1156 b) the a person gets a negative reading - .8844 c) if the person gets a positive reading, d) if a person gets a positive reading, he has Lyme disease he doesn’t have Lyme disease .0388 .1156 = .3356 .0768 .1156 = .6644 e) If a person gets a negative reading, f) If a person gets a negative reading, he doesn’t have Lyme disease he has Lyme disease .8832 .8844 = .9986 .0012 .8844 = .0014
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www.MasterMathMentor.com 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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www.MasterMathMentor.com Stu Schwartz 4. A prominent university decides admissions according to the following criteria.
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