a) If a financial firm sells these bonds for ​$61,000 what is the chance that the firm loses money if it only sells one of​ these? ​(b) If the firm sells 1,000 of these​ policies, each for ​$61,000​, what is the probability that it loses​ money? ​(c) How does the difference between parts a and b compare to the situation of a life insurance company that writes coverage to numerous patients that live or die independently of one​ another?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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A hurricane bond pays the holder a face​ amount, say​ $1 million, if a hurricane causes major damage in a certain country. Suppose that the chance for such a storm is
5​%
per year.
​(a) If a financial firm sells these bonds for
​$61,000
what is the chance that the firm loses money if it only sells one of​ these?
​(b) If the firm sells
1,000
of these​ policies, each for
​$61,000​,
what is the probability that it loses​ money?
​(c) How does the difference between parts a and b compare to the situation of a life insurance company that writes coverage to numerous patients that live or die independently of one​ another?
​(a) If a financial firm sells these bonds for
​$61,000​,
the probability that the firm loses money if it only sells one of these is
nothing.
​(Type an integer or a​ decimal.)
Expert Solution
Step 1

As per our guidelines, we are allowed to answer three sub-parts only

Given :

Benefit payable on occurrence of Hurricane = $ 1 million

Probability of hurricane = 5%

 

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