Problem 8 (16 points total, 4 points each part) Northwestern Minnesota is prone to widespread flooding in the Spring. Suppose that 20% of all farmers are insured against flood damage. Four farmers are selected at random. Let M denote the number among the four who have flood insurance. (a) What is the probability distribution of M? (b) What is the expected value of M? (c) What is the variance of M? (d) What is the probability that at least two of the four selected farmers have flood insur- ance