Exercise 3 (8 marks) Suppose that in one area in California, 40% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let x denote the number among the four who have earthquake insurance. a) Find the probability distribution of x. [Hint Let 8 denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with probability (.4)(.6)(.4)(.4) and associated x value 3. There are 15 other outcomes] b) What is the most likely value for x? c) What is the probability that at least two of the four selected have earthquake insurance