SOLUTION: Mark owns a stamp collection that he is considering getting insured. Over the course of a year it will cost him $500 to keep his collection insured, but if his collection is damage

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Question 1198129: Mark owns a stamp collection that he is considering getting insured. Over the course of a year it will cost him $500 to keep his collection insured, but if his collection is damaged they will pay him $1000.If he estimates there's a 10% chance of his collection being damaged, what is the expected value of buying the insurance policy?
One of the following is correct:
A) $-490
B) $10
C) $-400
D) $100
Which one?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Expected value of buying the insurance policy;
EV = expected benefits - insurance cost
EV+=+xE+-+C
chances of collection being damaged x+=+10% =+0.1
Insurance cost C+=+500
Benefit E+=+1000
Substituting the values;
EV+=+0.1+%2A1000+-+500+=+100+-+500
EV+=+-400
The expected value of buying the insurance policy is $-400.

answer: C) $-400