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A frequent force of mortality used in actuarial science is

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 4E Chapter 3.4

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 4E

Problem 4E

A frequent force of mortality used in actuarial science is λ(w) = aebw + c. Find the cdf and pdf associated with this Makeham’s law.

Step-by-Step Solution:

Answer:

Step 1 of 1 :

Since a frequent force of mortality used in actuarial science is

Our goal is to find

The cdf and pdf associated with this Makeham’s law.

Now we have to find the conditional distribution function and probability distribution function

We know that

The function H will be given by,

Therefore

Here

The conditional distribution function is

The probability distribution function is

Hence we have proved the conditional distribution function and probability distribution function.

Step 2 of 1

Chapter 3.4, Problem 4E is Solved
Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

This full solution covers the following key subjects: actuarial, associated, CDF, Find, Force. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The answer to “A frequent force of mortality used in actuarial science is ?(w) = aebw + c. Find the cdf and pdf associated with this Makeham’s law.” is broken down into a number of easy to follow steps, and 25 words. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. Since the solution to 4E from 3.4 chapter was answered, more than 334 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4E from chapter: 3.4 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM.

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A frequent force of mortality used in actuarial science is