Math Problem Statement
answer only- Suppose a life insurance company sells a
$210 comma 000210,000
1-year term life insurance policy to a
2020-year-old
female for
$240240.
According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is
0.9995440.999544.
Compute and interpret the expected value of this policy to the insurance company.
Question content area bottom
Part 1
The expected value is
$enter your response here.
Solution
The expected value (EV) to the insurance company can be calculated as:
Given:
- Premium Paid = $240
- Payout = $210,000
Simplify:
The expected value of this policy to the insurance company is $144.24.
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Math Problem Analysis
Mathematical Concepts
Probability
Expected Value
Basic Arithmetic
Formulas
EV = (Premium Paid - Payout) × P(Survive) + (Premium Paid - Payout) × P(Die)
P(Die) = 1 - P(Survive)
Theorems
Law of Total Probability
Suitable Grade Level
Grades 10-12