QUESTION 4 a) Given P (X) = 0.4, P (Y) = 0.4 and P (X/ Y') = 0.25. i) Find the probability that the event Y does not occur. (1 mark) ii) Draw a contingency table to represent the events above. (7 marks) iii) Find P (X U Y). (2 marks)FORMULA LIST Probability Theory 1. Conditional Probability P(A B)= P(AnB P(B) 2. Multiplicative Rule P(AnB)=P(B)P(AB) P(AnB)=P(A).P(B) if andonly if A andBareindependentevents 3. Bayes Theorem P(AB) P(A) P(BA) P(A)P(BA)+ P(A').P(BA')