Here are the solutions to the midterm question
posted in class:
a) P(N) = 0.6 P(CC | N) = 0.4 P(N and CC) = 0.24
P(R) = 0.4 P(CC | R) = 0.7 P(R and CC) = 0.28
P(CC) = 0.52
|
|
N |
R |
Total |
|
CC |
24 |
28 |
52 |
|
Not CC |
36 |
12 |
48 |
|
Total |
60 |
40 |
100 |
b) P(R | not CC) = 12/48 = 0.25
c) P(N or not CC) = 0.6 + 0.48 – 0.36 = 0.72
d) P(N and not CC) = 0.36
e) P(R | CC) = 28/52 = 0.5385
f) LS = P(R |not CC) = 0.25 (from part b); RS = P(R) = 0.4; LS ≠ RS; therefore, dependent events