Consider three types of claims: A, B and C. Let XA denote variable for the size of a randomly chosen claim of type A and Xc denote the corresponding random variables for cla B and C, respectively.
Consider three types of claims: A, B and C. Let XA denote variable for the size of a randomly chosen claim of type A and Xc denote the corresponding random variables for cla B and C, respectively.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Consider three types of claims: A, B and C. Let XẠ denote the random
variable for the size of a randomly chosen claim of type A, and let XB
and Xc denote the corresponding random variables for claims of types
B and C, respectively.
Assume that XA, XB and Xc are exponentially distributed with parame-
ters XA = 0.002, AB = 0.001 and Xc = 0.005, respectively.
An insurance company has a portfolio of policies with 10% of claims of
type A, 20% of type B, and the remaining claims of type C.
Let X denote the random variable for the size of a claim chosen at ran-
dom from all those on policies in the portfolio.
(a) GuiculatoTN 100), the probability that o rendomlu ohocan olaim
groator han 100
FIVIT.
(b)OaiculateEXITl for tunos A. Band C
(c) Calculate E[X].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0a3e0fd-5823-4238-a39b-386744c58d4c%2Fd44bea6b-f1b3-41b0-8ba1-469e441360d0%2Fxwysyqk_processed.png&w=3840&q=75)
Transcribed Image Text:Consider three types of claims: A, B and C. Let XẠ denote the random
variable for the size of a randomly chosen claim of type A, and let XB
and Xc denote the corresponding random variables for claims of types
B and C, respectively.
Assume that XA, XB and Xc are exponentially distributed with parame-
ters XA = 0.002, AB = 0.001 and Xc = 0.005, respectively.
An insurance company has a portfolio of policies with 10% of claims of
type A, 20% of type B, and the remaining claims of type C.
Let X denote the random variable for the size of a claim chosen at ran-
dom from all those on policies in the portfolio.
(a) GuiculatoTN 100), the probability that o rendomlu ohocan olaim
groator han 100
FIVIT.
(b)OaiculateEXITl for tunos A. Band C
(c) Calculate E[X].
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