SOLUTION: Do you favor the college building a swimming pool? Class | Yes | No | No Opinion Freshman | 15 | 8 | 6 Sophomores | 25 | 3 | 2

Algebra ->  Probability-and-statistics -> SOLUTION: Do you favor the college building a swimming pool? Class | Yes | No | No Opinion Freshman | 15 | 8 | 6 Sophomores | 25 | 3 | 2       Log On


   

Question 1050784: Do you favor the college building a swimming pool?
Class | Yes | No | No Opinion
Freshman | 15 | 8 | 6
Sophomores | 25 | 3 | 2
Total Students = 59
Total Freshman = 29
Total Sophomores = 30
Total Yes = 40
Total No = 11
Total No Opinion = 8
a. The student who has no opinion = 8/59
b. The student who is a freshman = 29/59 or is against the issue = 11/59
= 29/59 + 11/59 = 40/59
c. The student is a sophomore = 30/59 or favors the issue = 40/59.
= 30/59 + 40/59 = 70/59
I got (a) correct but (b) and (c) are incorrect. I greatly appreciate anyone who can help me understand what I am doing wrong.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi 

This is a better look: 

Class      | Yes    | No      | No Op     Total



Freshman   | 15     | 8       | 6           29

Sophomores | 25     | 3       | 2           30

Total        40       11        8           59





a. The student who has no opinion = 8/59  Good Work

b. The student who is a freshman = 29/59 0r is against the issue = 11/59

Need to Know: P(A 0r B) = P(A) + P(B) - P(A and B)

P(F or NO)   = 29/59 + 11/59  -+8%2F59 = 32/59

c. The student is a sophomore = 30/59 or favors the issue = 40/59.

 P(S 0r YES)   = 30/59 + 40/59  -  25/59 = 45/59