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 3 < x < 4 4 < x < 6 6 < x < 12 0.39 0.51 F(x) : 0.54 0.85 1 12 < X (a) What is the pmf of X? 1 3 4 12 p(x) (b) Using just the cdf, compute P(3 < X < 6) and P(4 < X). P(3 < X < 6) = P(4 < X) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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
3 < x < 4
4 < x < 6
6 < x < 12
0.39
0.51
F(x) :
0.54
0.85
1
12 < X
(a) What is the pmf of X?
1
3
4
12
p(x)
(b) Using just the cdf, compute P(3 < X < 6) and P(4 < X).
P(3 < X < 6) =
P(4 < 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 3 < x < 4 4 < x < 6 6 < x < 12 0.39 0.51 F(x) : 0.54 0.85 1 12 < X (a) What is the pmf of X? 1 3 4 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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