A university conducted a survey of 366 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Satisfied Neutral Not satisfied Total Freshman 55 29 16 100 Sophomore 46 15 19 80 Junior 61 18 15 94 Senior 55 10 27 92 Total 217 72 77 For parts (a)-(e), round your answers to 4 decimal places. (a) If a survey participant is selected at random, what is the probability that he or she is Not satisfied with student government? 366 (b) If a survey participant is selected at random, what is the probability that he or she is a Senior? (f) Are the events "Freshman" and "Neutral" independent? (yes, no) (c) If a survey participant is selected at random, what is the probability that he or she is a Senior and Not satisfied with student government? (e) What is the probability that a randomly selected student is Not satisfied with student government given that the student is Freshman? (d) If a survey participant is selected at random, what is the probability that he or she is a Senior or Not satisfied with student government?

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A university conducted a survey of 366 undergraduate students regarding satisfaction with student
government. Results of the survey are shown in the table by class rank.
Satisfied
Neutral
Not
satisfied
Total
Freshman Sophomore Junior
Junior
55
46
61
29
15
18
16
19
15
100
80
94
Senior
55
10
27
92
Total
217
72
77
For parts (a)-(e), round your answers to 4 decimal places.
(a) If a survey participant is selected at random, what is the probability that he or she is Not
satisfied with student government?
366
(b) If a survey participant is selected at random, what is the probability that he or she is a Senior?
(f) Are the events “Freshman” and “Neutral” independent? (yes, no)
(c) If a survey participant is selected at random, what is the probability that he or she is a Senior and
Not satisfied with student government?
(e) What is the probability that a randomly selected student is Not satisfied with student
government given that the student is Freshman?
(d) If a survey participant is selected at random, what is the probability that he or she is a Senior or
Not satisfied with student government?
Transcribed Image Text:A university conducted a survey of 366 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Satisfied Neutral Not satisfied Total Freshman Sophomore Junior Junior 55 46 61 29 15 18 16 19 15 100 80 94 Senior 55 10 27 92 Total 217 72 77 For parts (a)-(e), round your answers to 4 decimal places. (a) If a survey participant is selected at random, what is the probability that he or she is Not satisfied with student government? 366 (b) If a survey participant is selected at random, what is the probability that he or she is a Senior? (f) Are the events “Freshman” and “Neutral” independent? (yes, no) (c) If a survey participant is selected at random, what is the probability that he or she is a Senior and Not satisfied with student government? (e) What is the probability that a randomly selected student is Not satisfied with student government given that the student is Freshman? (d) If a survey participant is selected at random, what is the probability that he or she is a Senior or Not satisfied with student government?
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