Unit2 Multiple Random Variables Operations Unit2 Multiple Random

Unit-2 Multiple Random Variables & Operations

Unit-2 Multiple Random Variables & Operations MULTIPLE CHOICE 1 FILL IN THE BLANKS 2 3 4 5 6 7 8 9 10 16 TRUE OR FALSE 11 12 13 14 17 18 19 15 20

Multiple Random Variables & Operations MULTIPLE CHOICE 1. m 10 is …………………. Order Moment [ (A) Zero (B) First (C) Second (D) Third ]

Multiple Random Variables & Operations MULTIPLE CHOICE 2. m 11 is …………………. Order Moment [ (A) Zero (B) First (C) Second (D) Third ]

Multiple Random Variables & Operations MULTIPLE CHOICE 3. The correlation of two Random Variables X and Y is ………………Order Moment [ (A) Zero (B) First (C) Second (D) Third ]

Multiple Random Variables & Operations MULTIPLE CHOICE 4. If two Random Variables X and Y are Orthogonal, then their correlation is…………. [ (A) Zero (B) +1 (C) -1 (D) Infinite ]

Multiple Random Variables & Operations MULTIPLE CHOICE 5. The covariance of two Random Variables X and Y is ………… Order central Moment [ (A) Zero (B) First (C) Second (D) Third ]

Multiple Random Variables & Operations MULTIPLE CHOICE 6. The Normalized second order central moment is called as ……………. [ (A) Density (B) Correlation (C) Covariance (D) Correlation coefficient ]

Multiple Random Variables & Operations MULTIPLE CHOICE 7. If two random variables X and Y are independent, then the covariance is…………. [ (A) Infinite (B) +1 (C) -1 (D) Zero ]

Multiple Random Variables & Operations MULTIPLE CHOICE 8. For two random variables X and Y, Var(X-Y)= …………… (A) Var(X) + Var(Y) + CXY [ ] (B) Var(X) + Var(Y) - CXY (C) Var(X) + Var(Y) - 2 CXY (D) Var(X) + Var(Y) + 2 CXY

Multiple Random Variables & Operations MULTIPLE CHOICE 9. For two random variables X and Y, cov(a. X , b. Y) = …………… (A) a. CXY + b. CXY [ (B) (a+ b)CXY (C) (a- b)CXY (D) ab. CXY ]

Multiple Random Variables & Operations MULTIPLE CHOICE 10. Gaussian random variables are completely defined from their…………. (A) means [ ] (B) variances (C) covariances (D) All the above

Multiple Random Variables & Operations TRUE OR FALSE 11. If Gaussian random variables are uncorrelated, then they are statistically independent. [ ]

Multiple Random Variables & Operations TRUE OR FALSE 12. The linear transformations of Gaussian random variables are not Gaussian. [ ]

Multiple Random Variables & Operations TRUE OR FALSE 13. cov ( X + a, Y + b) = cov (X, Y) [ ]

Multiple Random Variables & Operations TRUE OR FALSE 14. If X and Y are two random variables, then the covariance is CXY = RXY [ ]

Multiple Random Variables & Operations TRUE OR FALSE 15. If CXY = 0 then the two random variables and X and Y are independent. [ ]

Multiple Random Variables & Operations FILL IN THE BLANKS 16. The joint moments from the joint characteristic function are given by mnk= …………………. .

Multiple Random Variables & Operations FILL IN THE BLANKS 17. The joint moments from the joint moment generating function are given by mnk= …………………. .

Multiple Random Variables & Operations FILL IN THE BLANKS 18. For continuous random variables X and Y, the second order central moment Rxy= m 11= E[XY]=…………………. .

Multiple Random Variables & Operations FILL IN THE BLANKS 19. The correlation coefficient or covariance coefficient denoted as is given by, = …………………

Multiple Random Variables & Operations FILL IN THE BLANKS 20. The density function for N number of discrete Gaussian random variables is given by f. X 1, X 2…XN (x 1, x 2…x. N) = …………

MULTIPLE CHOICE 1 B 2 C 3 C 4 A 5 C 6 D 7 D 8 C 9 D 10 D rs e w FILL IN THE BLANKS s An TRUE OR FALSE 11 TRUE 12 FALSE 13 TRUE 14 FALSE 15 FALSE 16 17 18 19 20