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There is a 0.9985 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $189 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below.

There is a 0.9985 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $189 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 70E
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There is a 0.9985 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $189 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 31-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.) b. If the 31-year-old male purchases the policy, what is his expected value? The expected value is $ (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $ on every 31-year-old male it insures for 1 year. (Round to the nearest cent as needed.)
Transcribed Image Text:There is a 0.9985 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $189 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $80,000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 31-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ The value corresponding to not surviving the year is $ (Type integers or decimals. Do not round.) b. If the 31-year-old male purchases the policy, what is his expected value? The expected value is $ (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why? because the insurance company expects to make an average profit of $ on every 31-year-old male it insures for 1 year. (Round to the nearest cent as needed.)
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