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Question 4. (5+5 points) Consider a box containing 80 pairs of snow mittens. Among these 160 mittens 8 are defective, i.e. (have some kind of defects e.g., bro- ken seams, ripped inner layer, etc.) Assume any mitten can be defective at random. (a) What is the probability of nding a defect-free pair of mittens in the box? (b) Let N be the random variable counting the number of detect-tree pairs of mittens in the box. Find F}[N] and Va'r[N]. (Hint: Use indicator random variables.)