(3) A university president has proposed that all students must take a course in
ID: 3053436 • Letter: #
Question
(3) A university president has proposed that all students must take a course in ethics as a require ment for graduation. Three hundred faculty members and students from this university were asked about their opinion on this issue. The following table gives a two-way classification of the responses of these faculty members and students Opinion Favor Oppose Neutral Total 15 110 10 act Student 90 Total 30 Select a person randomly from these 300 faculty members and students (a) Find the probability that the chosen person is a student or this person opposes the issue (b) Find the probability that the chosen person is in favor of the issue or is neutral (e) Find the probability that the chosen person is a faculty momber and is in favor of the issue. (d) Find the probability that the chosen person is a student, givwn that he/she is oppose this issue.Explanation / Answer
a)
P(student or opposes the issue) = P(student) + P(opposes the issue) - P(student and opposes the issue)
= {(90+110+30) + (15+110) - (110)}/300
= 0.7667
b)
P(favor of issue or neutral)
= P(favor of issue) + P(neutral) - P(favor of issue and neutral)
= {(45+90)+(10+30)- 0}/300
= 0.5833
c)
P(faculty and favor of the issue)
= 45/300
= 0.15
d)
P(student/opposes the issue)
= P(student and opposes the issue)/P(opposes the issue)
= {110/300}/{(110+15)/300}
= 110/125
= 0.88
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.