event of a fire, the insured damages (the payout on the policy) will be $340,000. lake a table of the two possible payouts on each policy with the probability of each. out Outcome A: Outcome B: No Fire Fire! pected Return $ uppose you own the entire firm, and the company issues only one policy. What are the expected value, varlance and standard lation of your profit? O Variance Standard Deviation

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Neighborhood Insurance sells fire Insurance policies to local homeowners. The premium is $350, 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 $340,000.
a. Make a table of the two possible payouts on each policy with the probability of each.
Payout
Expected
Return
$
10
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?
Payout
Probability
Outcome A
No Fire
$
Expected
Return
$
Variance
20
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. (Round your "Probability" answers to 4 decimal places.)
O
Outcome:
No Fire
Outcome B
Fire!
Variance
Standard
Deviation
96
Outcome:
One Fire
d. What are the expected value, variance and standard deviation of your profit?
96
Standard
Deviation
Outcome:
Two Fires
%
Transcribed Image Text:Neighborhood Insurance sells fire Insurance policies to local homeowners. The premium is $350, 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 $340,000. a. Make a table of the two possible payouts on each policy with the probability of each. Payout Expected Return $ 10 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? Payout Probability Outcome A No Fire $ Expected Return $ Variance 20 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. (Round your "Probability" answers to 4 decimal places.) O Outcome: No Fire Outcome B Fire! Variance Standard Deviation 96 Outcome: One Fire d. What are the expected value, variance and standard deviation of your profit? 96 Standard Deviation Outcome: Two Fires %
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