Freshman Sophomore Junior Senior Total Not satisfied 17 19 2

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

Solution

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