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, 45% of the stud enrolled in the course regularly attended the sessions, and the other 55% 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 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, and let D denote event that a randomly chosen student did not regularly attend the discussion sessions. Let B denote the event that a randomly chosen studer 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. 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.) (a) Fill in the missing 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, 45% of the stud enrolled in the course regularly attended the sessions, and the other 55% 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 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, and let D denote event that a randomly chosen student did not regularly attend the discussion sessions. Let B denote the event that a randomly chosen studer 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. 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.) (a) Fill in the missing probabilities.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:P(D)=
P(D)=0.55
P(B|D)=0.6
P(B|D) = ||
P(B|D)=
P(B|D)=0.7
P(DnB) =
P(DnB)=
PDnB)=
PDnB)=
(b) What is the probability that a randomly chosen student did not receive a grade of "B" or
higher in the course?
Transcribed Image Text: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, 45% of the students
enrolled in the course regularly attended the sessions, and the other 55% 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, and let D denote the
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.
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.)
(a) Fill in the missing probabilities.
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