Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% 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 S denote a homeowner that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.25)(0.75)(0.25)(0.25) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimal places.) x01234 p(x) (b) Draw the corresponding probability histogram. WebAssign PlotWebAssign Plot WebAssign PlotWebAssign Plot (c) What is the most likely value for X