Freshman Sophomore Junior Senior Total Not satisfied 17 19 23 12 71 Neutral 61 3
ID: 3431071 • Letter: F
Question
Freshman
Sophomore
Junior Senior
Total
Not satisfied
17
19
23
12
71
Neutral
61
35
32
38
166
Satisfied
23
49
43
65
180
Total
101
103
98
115
417
Assume that the sample represents the entire population of students. Find the probability that a student selected at random is
(a) Satisfied (a) __________________________
(b) Satisfied, given that the student is a senior (b)__________________________
(c) Sophomore (c) __________________________
(d) Not satisfied and freshman (d) __________________________
(e) Neutral, given that the student is a junior (e) __________________________
(f) Senior, given not satisfied (f) __________________________
(g) Are the events
Freshman
Sophomore
Junior Senior
Total
Not satisfied
17
19
23
12
71
Neutral
61
35
32
38
166
Satisfied
23
49
43
65
180
Total
101
103
98
115
417
Explanation / Answer
given
The Committee on Student Life did a survey of 417 students regarding satisfaction with student government and class standing. The results follow:
A) 180/417=0.4317
B) 65/115=0.5652
C)103/417=0.2470
D)17/417=0.0408
E)32/98=0.3265
F)12/71=0.1690
g) P(freshman and nuetral)=61/417=0.1463
P(freshman)=101/417= 0.2422 P(neutral)=166/417=0.3981
P(freshman)*P(neutral)=0.0964
since P(freshman and nuetral ) is not equal to P(freshman )*P(neutral)
hence freshman and neutral are not independent
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