A random sample of 3d year university students majoring in English or Computer Science at a large university is selected. These students are asked whether they are happy with their majors. The following table shows the results or the survey. Assume that none of these 250 students are majoring in both areas. Наррy | Unhapру | Total 40 English Computer Science 40 80 130 40 170 Total 170 80 250 If one student is selected at random from this group, find the probability that the student is: a) a Computer Science student b) an English student and happy with his/her major c) unhappy, given that he/she is an English student. d) Are the events 'Happy' and 'Unhappy' mutually exclusive? Explain.
A random sample of 3d year university students majoring in English or Computer Science at a large university is selected. These students are asked whether they are happy with their majors. The following table shows the results or the survey. Assume that none of these 250 students are majoring in both areas. Наррy | Unhapру | Total 40 English Computer Science 40 80 130 40 170 Total 170 80 250 If one student is selected at random from this group, find the probability that the student is: a) a Computer Science student b) an English student and happy with his/her major c) unhappy, given that he/she is an English student. d) Are the events 'Happy' and 'Unhappy' mutually exclusive? Explain.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:A random sample of 3rd year university students majoring in English or Computer Science at
a large university is selected. These students are asked whether they are happy with their majors. The
following table shows the results or the survey. Assume that none of these 250 students are majoring in
both areas.
Нарру | Unhaррy Total
40
English
Computer Science
Total
40
80
130
40
170
170
80
250
If one student is selected at random from this group, find the probability that the student is:
a) a Computer Science student
b) an English student and happy with his/her major
c) unhappy, given that he/she is an English student.
d) Are the events 'Happy' and 'Unhappy' mutually exclusive? Explain.
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