10. Suppose that only 20% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Thirty homeowners were selected at random for a survey. (a) Describe the probability distribution of x using special notation: X~ (b) Calculate the mean of the homeowners who are insured against earthquake damage. Don't forget to use proper notation and units. Show your work. . The mean: . The st. deviation: (c) Use special features of TI-calculator to calculate the probabilities. Use the proper notations for probability statements. Give your answer in decimal notation rounded to 4 decimal places. Show your work. . P(X 2 10) = . P( X = 0 ) = . P(X