An insurance company offers its policyholders a number of different payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: 0 x<1 0 x<1 .20 1s x< 3 .20 1s x< 3 .40 3s x< 4 .30 3s x< 4 () F(x) = ' Alternate (ii) F(x) = {} '.45 4s x< 6 .45 4s x< 6 .70 65 x<12 .70 6sx<12 (1 12s x '(1 12s x Find the pmf of X?

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