[1] The joint probability mass function of two discrete random variables A and B is PAB(a,...
[1] The joint probability mass function of two discrete random variables A and B is Pab(a,b) = {ca2b, a = -2,2 and b = 1,2 otherwise Clearly stating your reasons, answer the following two (1) Are A and B are uncorrelated? (ii) Are A and B independent? [2] X is continuous uniform (1,7) while Y is exponential with mean 2. If the variance of (X+2Y) is 20, find the correlation coefficient of X and Y.
[1] The joint probability mass function of two discrete random variables A and B is Pab(a,b) = {ca?b, Sca²b, a= -2,2 and b = 1,2 otherwise Clearly stating your reasons, answer the following two (i) Are A and B are uncorrelated? (ii) Are A and B independent?
[1] The joint probability mass function of two discrete random variables A and B is 0, Pab(a,b) = Sca²b, a = -2, 2 and b = 1,2 otherwise Clearly stating your reasons, answer the following two (i) Are A and B are uncorrelated? (ii) Are A and B independent?
[1] The joint probability mass function of two discrete random variables A and B is Pab(a,b) = {ca²b, a = -2, 2 and b = 1, 2 otherwise Clearly stating your reasons, answer the following two (i) Are A and B are uncorrelated? (ii) Are A and B independent?
The joint probability mass function of two discrete random variables A and B is (i) Are A and B are uncorrelated? (ii) Are A and B independent? Sca²b, a=-2,2 and b = 1,2 PA,(a,b) = 0, otherwise
Please answer all parts of the question. Thank you [1] The joint probability mass function of two discrete random variables A and B is a = -2, 2 and b = 1,2 0, otherwise Clearly stating your reasons, answer the following two (i) Are A and B are uncorrelated? (ii) Are A and B independent?
1. Le us sup pose thai the joint probability mass function of two discrete random variables X and Y be given by to,Y) = (1/18) ( x + 2 y), x=1,2;y=1,2 (C)Find the marginal pmf of X (i) Find the marginal pmf of Y (ii) Are X and γ independent? (iv) Find E (X) ) # Mean μ (v) Find Var (X). wnere Var (X) E (X2)-p? (vi) Find standard deviation of X.
3. Suppose X, Y are discrete random variables taking values in -1,0,1) and their joint probability mass function is 0 0 0 where a, b are two positive real numbers. (i) Find the values of a and b such that X and Y are uncorrelated (ii) Show that X and Y cannot be independent
3. Suppose X, Y are discrete random variables taking values in {-1,0,1) and their joint probability mass function is 0 X=1 where a, b are two positive real numbers. (i) Find the values of a and b such that X and Y are uncorrelated. (ii) Show that X and Y cannot be independent 0
The continuous random variables, X and Y , have the following joint probability density function: f(x,y) = 1/6(y2 + x3), −1 ≤ x ≤ 1, −2 ≤ y ≤ 1, and zero otherwise. (a) Find the marginal distributions of X and Y. (b) Find the marginal means and variances. (c) Find the correlation of X and Y. (d) Are the two variables independent? Justify.