Tree Diagrams_WS university.pdf

# On questions i dont know i will guess make a tree

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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. Find the probability that a) I answer a question correctly b) If I got the question correct, it is because I knew it. 4. A prominent university decides admissions according to the following criteria. • Students with SAT’s under 1400 are rejected. • Those who are still considered will have their GPA examined. Those with GPA’s 3.7 and above are accepted. Those under 3.2 are rejected. • Those with GPA’s between 3.2 and below 3.7 will have their essays read by 4 admission officers. If 3 out of 4 officers like the essay, then the student is admitted. If not, the student is rejected. Over the years, the following statistics have been compiled: • On the average, 57% of students who apply to that university have SAT’s 1400 or over. • Of the students with SAT’s 1400 and over... • 58% have GPA’s 3.7 or above • 31% have GPA’s between 3.2 and 3.7 • Of the students who have their essays read, there is a 50% chance that an admission officer will like their essay Make a tree diagram for this problem and then answer the following questions. Find the probabilities that a) a student is accepted b) a student is rejected c) if a student is accepted, he had a GPA of d) if a student is accepted, he got 3.7 or above in because of writing good essays e) If a student is rejected, it’s because of his f) If a student has SAT’s 1400, he is accepted essays

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Stu Schwartz AP Statistics - Tree Diagrams 1. A university professor fails 20% of his students in the final. After the final, he polls the students and asks how many of them studied more than 3 hours for it. Of those who passed the final, 72% said that they studied for it. Of those who failed the final, 31% said they studied for it. Make a tree diagram for this problem and then answer the following questions.
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