Determines k:

b) represent event ''B given A'' on D calculate the probability.

c) establish if X and Y are independent.

d) give the expectation and variance of X and Y.

e) calculate the covariance Cov(X,Y) and the coefficient and correlation p(X,Y) Comment on the relationship between X and Y.

 

Transcribed Image Text:

kry = {ko f(x, y) = 0 (x,y) € D ailleurs pour D = {(x, y)|0 ≤ x ≤2 et 1² ≤ y ≤2z} On a les événements A = {(x, y) = D1-1≤ ≤1 et 2 <y <2) B = {(x,y) € D-1<x< 1 et ² ≤ y ≤x}. kry = {ko f(x, y) = 0 (x,y) € D ailleurs pour D = {(x, y)|0 ≤ x ≤2 et 1² ≤ y ≤2z} On a les événements A = {(x, y) = D1-1≤ ≤1 et 2 <y <2) B = {(x,y) € D-1<x< 1 et ² ≤ y ≤x}.