The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance follows. Payment ($) Probability 10 500 1,000 3,000 5,000 8,000 0.81 0.08 0.04 0.03 0.02 0.01

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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The probability distribution for damage claims paid by the Newton Automobile Insurance
Company on collision insurance follows.
Payment ($) Probability
0.81
0.08
0.04
0.03
0.02
0.01
0.01
0
500
1,000
3,000
5,000
8,000
10,000
Use the expected collision payment to determine the collision insurance premium (in dollars)
that would enable the company to break even.
Transcribed Image Text:The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance follows. Payment ($) Probability 0.81 0.08 0.04 0.03 0.02 0.01 0.01 0 500 1,000 3,000 5,000 8,000 10,000 Use the expected collision payment to determine the collision insurance premium (in dollars) that would enable the company to break even.
Expert Solution
Step 1

Given that,

The probability distribution for damage claims by the Newton Automobile Insurance Company on collision insurance is

Payment Probability
0 0.81
500 0.08
1000 0.04
3000 0.03
5000 0.02
8000 0.01
10000 0.01

The formula for the expected value is as follows,

P(X=x)=xP(X=x)

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