c. Now suppose your company issues two policies. The risk of fire is independent across the two policies. Make a table of the three possible payouts along with their associated probabilities. (Negative answers should be indicated with a minus sign. Round your "Probability" answers to 4 decimal places.) Answer is complete and correct. Outcome: No Fire Payout Probability $ 220 Outcome: One Fire $ (99,780) 99.8000 % 0.1999 % Outcome: Two Fires $ (199,780) 0.0001 % d. What are the expected value, variance, and standard deviation of your profit? (Do not round intermediate calculations. Round your standard deviation to the nearest whole number.) > Answer is complete but not entirely correct. Expected Variance Return Standard Deviation $ 20 7,976,900,938 x) 4,469 × Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $110, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $100,000. Required: a. Make a table of the two possible payouts on each policy with the probability of each. (Negative answers should be indicated with minus sign.) Payout Answer is complete and correct. $ Outcome A: No Fire Outcome B: Fire! 110 $ (99,890) b. Suppose you own the entire firm, and the company issues only one policy. What are the expected value, variance, and standard deviation of your profit? (Do not round intermediate calculations. Round your standard deviation to the nearest whole number.) Answer is complete and correct. Expected Variance Return Standard Deviation $ 10 9,990,000 3,161

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 20P: Alexander Industries is considering purchasing an insurance policy for its new office building in...
Question
c. Now suppose your company issues two policies. The risk of fire is independent across the two policies. Make a table of the three
possible payouts along with their associated probabilities. (Negative answers should be indicated with a minus sign. Round your
"Probability" answers to 4 decimal places.)
Answer is complete and correct.
Outcome:
No Fire
Payout
Probability
$
220
Outcome:
One Fire
$ (99,780)
99.8000
%
0.1999
%
Outcome:
Two Fires
$ (199,780)
0.0001
%
d. What are the expected value, variance, and standard deviation of your profit? (Do not round intermediate calculations. Round your
standard deviation to the nearest whole number.)
> Answer is complete but not entirely correct.
Expected
Variance
Return
Standard
Deviation
$
20
7,976,900,938 x)
4,469 ×
Transcribed Image Text:c. Now suppose your company issues two policies. The risk of fire is independent across the two policies. Make a table of the three possible payouts along with their associated probabilities. (Negative answers should be indicated with a minus sign. Round your "Probability" answers to 4 decimal places.) Answer is complete and correct. Outcome: No Fire Payout Probability $ 220 Outcome: One Fire $ (99,780) 99.8000 % 0.1999 % Outcome: Two Fires $ (199,780) 0.0001 % d. What are the expected value, variance, and standard deviation of your profit? (Do not round intermediate calculations. Round your standard deviation to the nearest whole number.) > Answer is complete but not entirely correct. Expected Variance Return Standard Deviation $ 20 7,976,900,938 x) 4,469 ×
Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $110, the probability of a fire is 0.1%, and in
the event of a fire, the insured damages (the payout on the policy) will be $100,000.
Required:
a. Make a table of the two possible payouts on each policy with the probability of each. (Negative answers should be indicated with
minus sign.)
Payout
Answer is complete and correct.
$
Outcome
A:
No Fire
Outcome
B:
Fire!
110 $ (99,890)
b. Suppose you own the entire firm, and the company issues only one policy. What are the expected value, variance, and standard
deviation of your profit? (Do not round intermediate calculations. Round your standard deviation to the nearest whole number.)
Answer is complete and correct.
Expected
Variance
Return
Standard
Deviation
$
10
9,990,000
3,161
Transcribed Image Text:Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $110, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $100,000. Required: a. Make a table of the two possible payouts on each policy with the probability of each. (Negative answers should be indicated with minus sign.) Payout Answer is complete and correct. $ Outcome A: No Fire Outcome B: Fire! 110 $ (99,890) b. Suppose you own the entire firm, and the company issues only one policy. What are the expected value, variance, and standard deviation of your profit? (Do not round intermediate calculations. Round your standard deviation to the nearest whole number.) Answer is complete and correct. Expected Variance Return Standard Deviation $ 10 9,990,000 3,161
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