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:
F(x) =
0 x < 1
0.33 1 < x < 3
0.44 3 < x < 4
0.48 4 < x < 6
0.86 6 < x < 12
1 12 < x
(a) What is the pmf of X?
x 1 3 4 6 12
p(x)
(b) Using just the cdf, compute P(3 = X = 6) and P(4 = X).
P(3 < X < 6) =
P(4 <
X) =
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An insurance company offers its policyholders a number of different premium payment options. For a randomly...
An insurance company offers its policyholders a number of different premium payment options. For a randomly selected payments. The cdf of X is as follows policyholder, let x a the number of months between successive 0.37 1Sx <3 Fx)0.49 3sx <4 0.85 6sx <12 12 s x (a) What is the pmf of x? 12 p(x) (b) Using just the cdf, compute P(3 S XS 6) and P4 x
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