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 0.31 1Sx< 3 J0.43 3 Sx< 4 F(x) = 0.46 4 Sx< 6 0.80 6 Sx< 12 12 SX (a) What is the pmf of X? 1 6. 12 P(x) (b) Using just the cdf, compute P(3 S XS 6) and P(4 S X). P(3 SXS 6) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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:
X < 1
1<x< 3
0.31
l0.43
3 Sx< 4
F(x) =
0.46
4 <x < 6
0.80
6Sx< 12
12 <x
(a) What is the pmf of X?
1.
12
P(x)
(b) Using just the cdf, compute P(3 < X S 6) and P(4 S X).
P(3 S XS 6) =
P(4 S X) =
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: X < 1 1<x< 3 0.31 l0.43 3 Sx< 4 F(x) = 0.46 4 <x < 6 0.80 6Sx< 12 12 <x (a) What is the pmf of X? 1. 12 P(x) (b) Using just the cdf, compute P(3 < X S 6) and P(4 S X). P(3 S XS 6) = P(4 S X) =
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