Solution: An insurance company offers its policyholders a

Chapter , Problem 2.104

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An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X be the number of months between successive payments. The cumulative distribution function of X is F(x) = 0, if x < 1, 0.4, if 1 x < 3, 0.6, if 3 x < 5, 0.8, if 5 x < 7, 1.0, if x 7. (a) What is the probability mass function of X? (b) Compute P(4 < X 7).

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