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.

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Probability. Only question c. 

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].
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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