8:06AAwww-awn.aleks.comO PROBABILITYTree diagrams for conditional probabilitiesA course in statistics is one of the most difficult at the local university.Because of this, for the past decade the university has arranged forteaching assistants to hold frequent discussion sessions as part of thecourse. Since the inception of the discussion sessions, 55% of the studentsenrolled in the course regularly attended the sessions, and the other 45% didnot. Students regularly attending the sessions have performed better thanthose not regularly attending. In particular, 60% of the students regularlyattending the sessions received a grade of "B" or higher in the course, whileonly 30% of the students not regularly attending the sessions received agrade of "B" or higher in the course.Let D denote the event that a randomly chosen student (enrolled in thecourse) regularly attended the discussion sessionsevent that a randomly chosen student did not regularly attend thediscussion sessions. Let B denote the event that a randomly chosen studentreceived a grade of "B" or higher in the course, and let B denote the eventthat a randomly chosen student did not receive a grade of "B" or higher inthe course.and let D denoteFill in the probabilities to complete the tree diagram below, and thenanswer the question that follows. Do not round any of your responses.(If necessary, consult a list of formulas.)P(8|D) -0.6P(D n B) - 0P(n) -P(D n ) - 0P(5|D) -P(8|D) -P(Dn 8) - 0P(D)- 045P(DnE) - 00.7What is the probability that a randomly chosen student didnot receive a grade of "B" or higher in the course??ExplanationCheck

Given: Let D denote the event that a randomly chosen student regularly attended the discussion…

A course in statistics is one of the most difficult at the local university. Because of this, for the past decade the university has arranged for teaching assistants to hold frequent discussion sessions as part of the course. Since the inception of the discussion sessions, ss% of the students enrolled in the course regularly attended the sessions, and the other 4s5% di not. Students regularly attending the sessions have performed better than those not regularly attending. In particular, 60% of the students regularly attending the sessions received a grade of "B" or higher in the course, whil only 30% of the students not regularly attending the sessions received a grade of "B" or higher in the course. Let o denote the event that a randomly chosen student (enrolled in the course) regularly attended the discussion sessions, and let 5 denote the event that a randomly chosen student did not regularly attend the discussion sessions. Let s denote the event that a randomly chosen studen received a grade of "B" or higher in the course, and let ī denote the event that a randomly chosen student did not receive a grade of "B" or higher in the course. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses. (If necessary, consult a list of formulas.) 0.6 - (o n a)- 0 r(). r(on)- O r(7|D) - O r(D) -0.45 0.7 What is the probability that a randomly chosen student did n not receive a grade of "B" or higher in the course?

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 16CR