SOLUTION: In a newspaper poll concerning violence on television, 600 people were asked, "What is your opinion of the amount of violence on prime-time television-is there too much violence on

Algebra ->  Permutations -> SOLUTION: In a newspaper poll concerning violence on television, 600 people were asked, "What is your opinion of the amount of violence on prime-time television-is there too much violence on      Log On


   

Question 1184775: In a newspaper poll concerning violence on television, 600 people were asked, "What is your opinion of the amount of violence on prime-time television-is there too much violence on television?" Use the data in the table to find the following probabilities, where Y is the event "saying yes," and M is the event "being a man." (Round the answers to two decimal places.)
Yes No Don't Know Total
Men 162 95 23 280
Women 256 45 19 320
Total 418 140 42 600
(a) p(Y' | M ) =

(b) p(Y | M' ) =

(c) p(Y' | M' ) =

(d) Which event is the complement of the event Y|M?
Y | M'
Y' | M'
Y' | M
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
(a) P(Y'|M) = P(Y'∩M)/P(M) = %28%28118%2F600%29%29%2F%28%28280%2F600%29%29+=+59%2F140

(b) P(Y|M') = P(Y∩M')/P(M') = %28%28256%2F600%29%29%2F%28%28320%2F600%29%29+=+4%2F5

(c) P(Y'|M') = P(Y'∩M')/P(M') = %28%2864%2F600%29%29%2F%28%28320%2F600%29%29+=+1%2F5

(d) The complement of the event Y|M is Y'|M (without needing any calculation to verify).