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?

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O PROBABILITY
Tree diagrams for conditional probabilities
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, 55% of the students
enrolled in the course regularly attended the sessions, and the other 45% did
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, while
only 30% of the students not regularly attending the sessions received a
grade of "B" or higher in the course.
Let D denote the event that a randomly chosen student (enrolled in the
course) regularly attended the discussion sessions
event that a randomly chosen student did not regularly attend the
discussion sessions. Let B denote the event that a randomly chosen student
received a grade of "B" or higher in the course, and let B denote the event
that a randomly chosen student did not receive a grade of "B" or higher in
the course.
and let D denote
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.)
P(8|D) -
0.6
P(D n B) - 0
P(n) -
P(D n ) - 0
P(5|D) -
P(8|D) -
P(Dn 8) - 0
P(D)- 045
P(DnE) - 0
0.7
What is the probability that a randomly chosen student did
not receive a grade of "B" or higher in the course?
?
Explanation
Check
Transcribed Image Text:8:06 AA www-awn.aleks.com O PROBABILITY Tree diagrams for conditional probabilities 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, 55% of the students enrolled in the course regularly attended the sessions, and the other 45% did 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, while only 30% of the students not regularly attending the sessions received a grade of "B" or higher in the course. Let D denote the event that a randomly chosen student (enrolled in the course) regularly attended the discussion sessions event that a randomly chosen student did not regularly attend the discussion sessions. Let B denote the event that a randomly chosen student received a grade of "B" or higher in the course, and let B denote the event that a randomly chosen student did not receive a grade of "B" or higher in the course. and let D denote 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.) P(8|D) - 0.6 P(D n B) - 0 P(n) - P(D n ) - 0 P(5|D) - P(8|D) - P(Dn 8) - 0 P(D)- 045 P(DnE) - 0 0.7 What is the probability that a randomly chosen student did not receive a grade of "B" or higher in the course? ? Explanation Check
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