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Sr(x)=2"xe* x20,2>0 otherwise [2²xe¬i* x20,2>0

Sr(x)=2"xe* x20,2>0 otherwise [2²xe¬i* x20,2>0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Statistics Formulae Mean = u= ΣΤ Sample Variance = s Some Probability Formulae P(AUB) = P(A)+ P(B) - P(AnB) 1. P(AnB), P(B) >0 2. P(A/ B) = P(B) 3. P(AnB) = P(A/ B) + P(B) 4. P(A/ B) = P(A) P(AnB) = P(4) + P(B) 5. P(A) = P(A/ B)P(B) + P(A/B)P(P(B) 6. P(B/ A)P(A) P(B/ A)P(A)+ P(B/A)P(A) 8. P(A B) = u = E(X) = ExP(x) 9. a' =V(X) = E[(X -']= E(x-4)' P(x) 10. a' =V(X)= E(X)* -[E(X)]* 11. n! 12. P(x) = 13. u = npi = npg 14. -: for x= 0,1,2,3. P(x)= pqx-1 15.
Transcribed Image Text:Statistics Formulae Mean = u= ΣΤ Sample Variance = s Some Probability Formulae P(AUB) = P(A)+ P(B) - P(AnB) 1. P(AnB), P(B) >0 2. P(A/ B) = P(B) 3. P(AnB) = P(A/ B) + P(B) 4. P(A/ B) = P(A) P(AnB) = P(4) + P(B) 5. P(A) = P(A/ B)P(B) + P(A/B)P(P(B) 6. P(B/ A)P(A) P(B/ A)P(A)+ P(B/A)P(A) 8. P(A B) = u = E(X) = ExP(x) 9. a' =V(X) = E[(X -']= E(x-4)' P(x) 10. a' =V(X)= E(X)* -[E(X)]* 11. n! 12. P(x) = 13. u = npi = npg 14. -: for x= 0,1,2,3. P(x)= pqx-1 15.
The total claim amount X made in one year on a portfolio of insurance policies has probability density function x20,1 >0 otherwise Show that (a) E(X)== (b) Var(X)= (c) P(X >x)=e* (1+ ix)
Transcribed Image Text:The total claim amount X made in one year on a portfolio of insurance policies has probability density function x20,1 >0 otherwise Show that (a) E(X)== (b) Var(X)= (c) P(X >x)=e* (1+ ix)
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