Sara is a 60-year-old Anglo female in reasonably good health. She wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until she is 65. The policy will expire on her 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition). (b) What would be the total expected cost to Big Rock Insurance over the years 60 through 64? (c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Sara's death, how much should it charge for the policy? (d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make?
Sara is a 60-year-old Anglo female in reasonably good health. She wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until she is 65. The policy will expire on her 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition). (b) What would be the total expected cost to Big Rock Insurance over the years 60 through 64? (c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Sara's death, how much should it charge for the policy? (d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make?
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Sara is a 60-year-old Anglo female in reasonably good health. She wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until she is 65. The policy will expire on her 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition).
(b) What would be the total expected cost to Big Rock Insurance over the years 60 through 64?
(c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Sara's death, how much should it charge for the policy?
(d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make?
Transcribed Image Text:Sara is a 60-year-old Anglo female in reasonably good health. She wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until she is 65. The policy will expire on her 65th birthday. The
probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition).
X = age
P(death at this age)
60
61
0.00914
62
63
64
0.00697
0.00941
0.00975
0.01096
Sara is applying to Big Rock Insurance Company for her term insurance policy.
(a) What is the probability that Sara will die in her 60th year? (Use 5 decimal places.)
Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance?
$
(b) Repeat part (a) for ages 61, 62, 63, and 64.
Expected Cost
$
Age
61
62
$
63
$4
64
$
What would be the total expected cost to Big Rock Insurance over the years 60 through 64?
$
(c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Sara's death, how much should it charge for the policy?
$4
(d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make?
$
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