Answer Happy

QUESTION 2 Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A = The river is polluted B = A sample of water tested detects pollution C = Fishing permitted Let = P(A) = 0.3; P(BA) = 0.85; P(B|A') = 0.20 ; PC|An B) = 0.30; P(C|A'n B) = 0.15; P(C| AB') = 0.70; P(C|An B') = 0.90 =
(a) (b) (c) (d) (e) Draw the tree diagram to represent the above event. (3 marks) Find P( ABC) (2 marks) Find P(B' nC) (3 marks) Find PC) (4 marks) Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution. (3 marks)