A university conducted a survey of 392392 undergraduate students regarding satis
ID: 3074045 • Letter: A
Question
A university conducted a survey of 392392 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Complete parts (a) through (d) below.
Freshman
Sophomore
Junior
Senior
Total
Satisfied
58
53
64
63
238
Neutral
28
13
16
15
72
Not satisfied
23
16
16
27
82
Total
109
82
96
105
392
(a) If a survey participant is selected at random, what is the probability that he or she is satisfied with student government?
P(satisfied)equals=
(Round to three decimal places as needed.)
(b) If a survey participant is selected at random, what is the probability that he or she is a junior?
P(junior)equals=
(Round to three decimal places as needed.)
(c) If a survey participant is selected at random, what is the probability that he or she is satisfied and a junior?
P(satisfied and junior)equals=
(Round to three decimal places as needed.)
(d) If a survey participant is selected at random, what is the probability that he or she is satisfied or a junior?
P(satisfied or junior)equals=
(Round to three decimal places as needed.)
Freshman
Sophomore
Junior
Senior
Total
Satisfied
58
53
64
63
238
Neutral
28
13
16
15
72
Not satisfied
23
16
16
27
82
Total
109
82
96
105
392
Explanation / Answer
a)
P(Satisfied) = n(Satisfied) / Total students
= 238 / 392
= 0.607
b)
P(Junior) = n(Junior) / Total student
= 96 / 392
= 0.245
c)
P(Satisfied and junior) = n(Satisfied and junior) / Total student
= 64 / 392
= 0.163
d)
P(Satisfied OR junior) = P(Satisfied) + P(Junior) - P(Satisfied and junior)
= 238/392 + 96/392 - 64/392
= 270 / 392
= 0.689
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