# Answer Keys For The 2008 Edition Of Marcel B. Finan’s “A .

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Answer Keys for the 2008 Edition of Marcel B. Finan’s “A Probability Course for the Actuaries”Second Edition – G. Stolyarov IIAnswer 14.2. F(x) 0 for x1/8 for 0 x½ for 1 x7/8 for 2 x1 for x 3Answer 14.3. Formula: P(x) [(6- 7-x )/36]*I 2,3,4,5,6,7,8,9,10,11,12 6Answer 14.4. P(x) (1/6)*I 1,2,3,4,5,6 (x).Answer 14.5. P(x) can be represented via the following table:x:-------0----1----2P(x):--1/4--1/2--1/4P(x) can also be represented as an equation: P(x) [(2- 1-x )/4]*I 0,1,2 (x)Answer 14.6. F(n) 1-(2/3)n 1Answer 14.7a. Pr(X 1) 5/100 1/20 0.05;Pr(X k) k 1Σ ((100-k)(99-k)(98-k)(97-k)/1,806,900,480) for x є integers, 1 x 96xAnswer 14.7b. We can define F(y) as follows:F(y) 0 for y0.5837523669 for 0 y0.9321424769 for 1 y0.9933612861 for 2 y0.9997448142 for 3 y14

Answer Keys for the 2008 Edition of Marcel B. Finan’s “A Probability Course for the Actuaries”Second Edition – G. Stolyarov II0.9999958518 for 4 y1 for y 5We can also express F(y) as the following sum:F(y) Pr(Y y) k 0Σ C(95,10-k)*C(5,k)/C(100,k) for y є integers, 0 y 5yAnswer 14.8. P(x) 3/10 for x -4,2/5 for x 1,3/10 for x 4Answer 14.9. P(x) 4/7 for x -1,3/7 for x 2Answer 14.10a. P(x) 8/27 for x 0,4/9 for x 1,2/9 for x 2,1/27 for x 3Answer 14.10b. F(x) 0 for x8/27 for 0 x20/27 for 1 x20/27 for 1 x26/27 for 2 x1 for x 3Answer 14.11. P(x) 1/36, for x 2,15

Answer Keys for the 2008 Edition of Marcel B. Finan’s “A Probability Course for the Actuaries”Second Edition – G. Stolyarov IIAnswer 21.1b. F(x) 0, for x 2,1/10, for 2 x 6,½, for 6 x 10,3/5, for 10 x 11,4/5, for 11 x 151, for 15 xAnswer 21.1c. E(X) 8.8 centsAnswer 21.2. The cdf of X can be expressed via the following table:Interval for x--(- ,0)---[0,1)-----[1,2)------[2, 3)------[3, 230---1Answer 21.3a. P(X 1) ¼; P(X 2) 1/6; P(X 3) 1/12Answer 21.3b. P(1/2 X 3/2) ½Answer 21.4. p(x) ½ for x 0,1/10 for x 1,1/5 for x 2,1/10 for x 3,1/10 for x 3.5,0 otherwiseAnswer 21.5a. p(x) 0.1, for x -2,0.2, for x 1.1,25

Answer Keys for the 2008 Edition of Marcel B. Finan’s “A Probability Course for the Actuaries”Second Edition – G. Stolyarov IIAnswer 21.8a. p(x) 1/12 for x 1,1/6 for x 2,1/12 for x 3,1/6 for x 4,1/12 for x 5,1/6 for x 6,1/12 for x 8,1/12 for x 10,1/12 for x 12,0 otherwiseAnswer 21.8b. F(x) 0, for x 11/12, for 1 x 21/4, for 2 x 31/3, for 3 x 41/2, for 4 x 57/12, for 5 x 63/4, for 6 x 85/6, for 8 x 1011/12, for 10 x 121, for 12 xAnswer 21.8c. P(X1/3. P(Xnot the same as F(4).27

Dr. Finan's study guide is an excellent resource for those preparing to take Actuarial Exam P on probability. . within this PDF document, so as to preserve them subsequent to the closure of Yahoo! Voices on July 30, 2014. . P(T) 0.48. Answer Keys for the 2008 Edition of Marcel

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