Continuing the last question which of the following is closest to the variance

# Continuing the last question which of the following

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5. Continuing the last question, which of the following is closest to the variance ofX?(a) 1(b) 3.75(c) 7.5(d) 10(e) 156. Suppose that in one area in California, 40% of all homeowners are insured against earthquakedamage. Four homeowners are to be selected at random; letXdenote the number amongthe four who have earthquake insurance. What is the distribution ofX?7. Continuing the last question, what is the probability thatX2?8. Suppose an operator receives phone calls according to a Poisson process, at a rate of 36 callsper hour. LetXbe the number of calls that arrive within a 5-minute period. What is thevariance ofX?9. A family decides to have children until it has three girls. Assume that different births areindependent withP(boy) =P(girl) = 0.5. LetXbe thetotalnumber of children the familywill have eventually. What is the expected value ofX?(a) 3(b) 4.125(c) 5(d) 6(e) none of the above2