On the Venn diagram, shade the region A' n B U B [1pt.] (b) The events A and B are such that P(An 8')=0.2 and P(AUB) 0.9. Find P(A|B). [4 pts.] 3. (a) The events A and B are such that P(A) = 0.65, P(B) = 0.48 and P(AUB)=0.818. Find P(A n B). [2 pts.] (b) Hence, show that the events A and B are independent. [3 pt