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 0.40 1

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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
0.40
1<x<3
0.53 3 <x<4
0.55
4≤x≤6
6sx< 12
0.92
1
12 ≤ x
(a) What is the pmf of X?
1
3
p(x)
(b) Using just the cdf, compute P(3 ≤ x ≤ 6) and P(4 ≤ X).
P(3 ≤ x ≤ 6) =
P(4 ≤ x) =
6
12
Transcribed Image Text: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 0.40 1<x<3 0.53 3 <x<4 0.55 4≤x≤6 6sx< 12 0.92 1 12 ≤ x (a) What is the pmf of X? 1 3 p(x) (b) Using just the cdf, compute P(3 ≤ x ≤ 6) and P(4 ≤ X). P(3 ≤ x ≤ 6) = P(4 ≤ x) = 6 12
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