Help me solve question 2 and 3

QUESTION 3 Three machines produce respectively 0.35, 0.37, and 0.28 of the total production of a given item at a certain factory. The probabilities of producing a defective item on these machines are 0.07, 0.05, and 0.08 respectively. (i) if an item is selected at random. Find the probability that the selected item is defective. (ii) If an item is selected at random and found defective. Find the probability that the selected defective item is produced by the second machine. (iii) If an item is selected at random and found non-defective. Find the probability that the selected non-defective item is produced by the second machine. QUESTION 2 Ex 1. Consider the following contingency table. Right-handed | Left-handed | Total Male 0.41 0.08 0.49 Female 0.45 0.06 0.51 Total 0.86 0.14 Find the probability that a randomly selected person is: (a) a male given that she is right-handed; (b) right-handed given that she is a male; (c) a female given that she is left-handed. (d) Are the events being a female and being left-handed independent? Justify