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Linear Algebra: A Modern Introduction

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 payment options.
For a randomly selected policyholder, let X = the number of months between successive
payments. The cdf of X is as follows:
0 x<1
0 x<1
.20 1s x< 3
.20 1s x< 3
.40 3< x< 4
.30 3s x< 4
(1) F(x) = }
Alternate (ii) F(x) = {}
.45 4s x< 6
.45 4<x< 6
.70 6< x<12
.70 6< x< 12
|1 12< x
[1 12< x
Find the pmf of X?

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