An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: x < 1 0.38 1sx< 3 J0.48 3 Sx< 4 F(x) = 0.53 4 Sx< 6 0.87 6 SX< 12 12 sx (a) What is the pmf of X? 1 3 6 12 P(x) (b) Using just the cdf, compute P(3 SXS 6) and P(4 S X). P(3 SXS 6) = P(4 S X) =

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