Suppose an insurance firm has three groups of insured people who have claim distribution of the form: 3000 of claims follow a N(u = 110,, o? 100) distribution , 2500 of claims folow a N(u 120,,o = 200) distributions and 4500. of claims folow a N(u = 130, o? = 300) i) What is the probability that a random claim will exceed $6,000? ii) Use CLT to caleulate the probability that a random claim will exceed $10,000. Г100 S = 200 -0 -0 300

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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Suppose an insurance firm has three groups of insured people who
have claim distribution of the form: 3000 of claims follow a N(u = 110,, o =
100) distribution , 2500 of claims folow a N(u = 120,, o = 200) distributions
and 4500. of claims folow a N(u = 130, o = 300) i) What is the probability that
a random claim will exceed $6,000? ii) Use CLT to caleulate the probability
that a random claim will exceed $10,000.
[100
S =
200
-0
-0
300
Transcribed Image Text:Suppose an insurance firm has three groups of insured people who have claim distribution of the form: 3000 of claims follow a N(u = 110,, o = 100) distribution , 2500 of claims folow a N(u = 120,, o = 200) distributions and 4500. of claims folow a N(u = 130, o = 300) i) What is the probability that a random claim will exceed $6,000? ii) Use CLT to caleulate the probability that a random claim will exceed $10,000. [100 S = 200 -0 -0 300
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