Answers to Section 26 of Marcel B. Finan's "A Probability Course for the Actuaries"

G. Stolyarov II
These answer keys are meant to assist students using Marcel B. Finan's A Probability Course for the Actuaries. With Dr. Finan's permission, Mr. Stolyarov wrote solutions for the problems in his study guide and is endeavoring to make the answer keys to each section publicly available. You can see his full List of Answer Keys here. Do the problems at the end of each section and then check your answers with these keys.

Dr. Finan's study guide is an excellent resource for those preparing to take Actuarial Exam 1/P on probability.

Problems that require numerical answers are answered here, but it is still the responsibility of the student to provide his or her own work for these problems. These answers are meant to enable students to independently verify the correctness of their reasoning by checking to see if the end result they obtained is correct. Questions from the study guide that require proofs or diagrams are not addressed here, as the end result of those questions is known in advance, and it is the responsibility of the student to provide the procedure for getting there.

Section 26

Answer 26.1. 1-e-0.9= about 0.5934303403

Answer 26.3. 1- e−0.5= about 0.3934693403

Answer 26.4. 1-e-1/8= about 0.1175030974

Answer 26.5. e-3/5= about 0.5488116361

Answer 26.6a. e-5/3= about 0.1888756028

Answer 26.6b. e-2/3- e-4/3= about 0.2498199809

Answer 26.7a. e-2= about 0.1353352832

Answer 26.7b. e-4/3- e-7/3= about 0.1666251703

Answer 26.7c. e-3= about 0.0497870684

Answer 26.8. about 0.1339745962

Answer 26.9a. e-1.68= about 0.186373976

Answer 26.9b. e-0.015- e-0.03= about 0.0146664061

Answer 26.10. about 0.4348589372

Answer 26.11. about 10255.89899

Answer 26.12. E(X)= 2+ 3e-2/3

E(X)= about 3.540251357

Answer 26.13. x= about 5644.226968

Answer 26.14. m= about 173.2867951

Answer 26.15. about 0.4204482076

Answer 26.16. about 8.325475924

Answer 26.17. about 0.0181327887

See a list of all the answer keys to Dr. Finan's study guide for Exam 1/P here.

Published by G. Stolyarov II

G. Stolyarov II is a science fiction novelist, independent essayist, poet, amateur mathematician, composer, author, and actuary.  View profile

3 Comments

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  • Adam12/30/2009

    Actually, the original answer (still in Dr. Finan's study guide, is correct of 0.1175. The reason is because E(x) is 4 particles per millisecond. The unit of time must always be on the bottom of the E(x) fraction. That means that delta=.25. Thus, the equation is P(x

  • G. Stolyarov II11/22/2009

    Thank you for your observation. You are correct, and the answer key has been revised accordingly.

  • 26.4 is wrong11/17/2009

    the answer posted for 26.4 is wrong

    Question says 4 paricles per milisecond
    so rate =4 and E(T)=.25

    Asks us P(T>2)

    Equation should be e^(-4*(2)) = e^-8

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