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Mortality The percentage of people of any particular age

Chapter 4, Problem 50A

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QUESTION:

Problem 50A

Mortality The percentage of people of any particular age group that will die in a given year may be approximated by the formula

P(t) = 0.00239e0.0957t,

where t is the age of the person in years. Source: U.S. Vital Statistics.

a. Find P(25), P(50), and P(75).

b. Find P′(25), P′(50), and P′(75).

c. Interpret your answers for parts a and b. Are there any limitations of this formula?

Questions & Answers

QUESTION:

Problem 50A

Mortality The percentage of people of any particular age group that will die in a given year may be approximated by the formula

P(t) = 0.00239e0.0957t,

where t is the age of the person in years. Source: U.S. Vital Statistics.

a. Find P(25), P(50), and P(75).

b. Find P′(25), P′(50), and P′(75).

c. Interpret your answers for parts a and b. Are there any limitations of this formula?

ANSWER:

Solution:

Step 1 of 6:

a)In this problem, we need to find the value of

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