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 1sx < 3 0.30 10.43 3 sx< 4 F(x) = 0.45 4 Sx< 6 0.75 6 S x < 12 12 sx (a) What is the pmf of X? 3 4 6 12 p(x) (b) Using just the cdf, compute P(3 s XS 6) and P(4 s X). P(3 sXS 6) P(4 s X) =

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