Question

6)Let X and Y have the joint probability density function

f(x, y) = {k XY , 0 ≤ x ≤ y ≤ 1
{0, otherwise
Find the value of k and compute the correlation coefficient
plz ans step by step

Answer 1

Step-by-step explanation:

We find c by setting

1 = Z ∞

−∞

Z ∞

−∞

f(x, y)dydx =

Z 1

0

Z 2

0

(cx2 +

xy

3

)dydx =

2c

3

+

1

3

,

so c = 1