In: Statistics and Probability
(b) A randomly selected student takes Biology or Math with probability 0.8, takes Biology and Math with probability 0.3, and takes Biology with probability 0.5. Find the probability of taking Math.
YES |
NO |
NO OPINION |
totals |
|
MEN |
50 |
30 |
20 |
100 |
WOMEN |
120 |
40 |
40 |
200 |
totals |
170 |
70 |
60 |
300 |
P (Women and Yes) =
P (Men | Yes) =
P (No | Women) =
P (Men or No) =
Are Men and No Opinion mutually exclusive?
Are Men and No Opinion independent? Justify your answer by an appropriate computation.