Question 2 120 packets of chocolates are packed in a box. 30 packets of them are black chocolate with nuts, 40 packets are black chocolate without nut, 25 packets are white chocolate with nuts, and the rest are white chocolate without nuts. a) Construct a contingency table with summation of all categories counted. (3 marks) b) Find the probability that a randomly selected chocolate is i) a white chocolate. (2 marks) ii) a chocolate without nut, given that it is a black chocolate. (3 marks iii) a chocolate without nut or a black chocolate. (3 marks) c) Are the events "black chocolate" and "without nut" mutually exclusive? Explain. (2 marks) d) Are the events "black chocolate" and "with nut" independent? Explain. (2 marks) [Total: 15 marks]