A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Concept explainers

Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question

The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance follows.

 

Payment ($) Probability
0   0.85
500   0.04
1,000   0.04
3,000   0.03
5,000   0.02
8,000   0.01
10,000   0.01

 

 

 

(a) Use the expected collision payment to determine the collision insurance premium that would enable the company to break even. If required, round your answers to two decimal places. If your answer is zero, enter "0".
 
x f(x) xf(x)
0    
500    
1000    
3000    
5000    
8000    
10000    
Total      
   
(b) The insurance company charges an annual rate of $520 for the collision coverage. What is the expected value of the collision policy for a policyholder? (Hint: It is the expected payments from the company minus the cost of coverage.) If required, enter negative value as negative number.
  $
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