In a population initially consisting of 75% females and 25% males, you are given: i. For...
In a population initially consisting of 75% females and 25% males, you are given:
i. For a female, the force of mortality is constant and equals μ.
ii. For a male, the force of mortality is constant and equals 1.5μ.
iii. At the end of 20 years, the population consists of 85% females and 15% males.
Answer the following questions,
a. Derive an expression in terms of μ of the probability that a female survives 20 years.
b. Calculate the probability that a female survives one year.
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