An insurance company offers its policyholders a number of different premium paymentoptions. For a randomly selected policyholder, let X = number of months betweensuccessive payments. The cdf of X is as follows: 0 x < 1 0.30 1 ≤ x< 3 f(x)= 0.40 3 ≤ x < 4 0. 45 4 ≤ x < 6 0.60 6 ≤ x ≤ 12 1 12 ≤ x .a) What is the pmf of X ?b) Using just the cdf, compute P(3 ≤ X ≤ 6) and P(4 ≤ X).

An insurance company offers its policyholders a number of different premium paymentoptions. For a randomly selected policyholder, let X = number of months betweensuccessive payments. The cdf of X is as follows: 0 x < 1 0.30 1 ≤ x< 3 f(x)= 0.40 3 ≤ x < 4 0. 45 4 ≤ x < 6 0.60 6 ≤ x ≤ 12 1 12 ≤ x .a) What is the pmf of X ?b) Using just the cdf, compute P(3 ≤ X ≤ 6) and P(4 ≤ X).

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