Urgent, please help me with this question: Let X and Y be two continuous random variables whose conditional density func
Posted: Sun Sep 05, 2021 5:11 pm
Urgent, please help me with this question:
Let X and Y be two continuous random variables whose
conditional density function f (x | y) is given by:
f (x | y) = (x + y) / (0.5 + y); 0 ≤ x ≤ 1; 0 ≤ and ≤
1
In addition, the marginal function of Y is known, which
is given by:
f (y) = 0.5 + y; 0 ≤ and ≤ 1
to. Determine the joint distribution function of X and
Y
b. Calculate E (XY)
c. Calculate E (X | Y = 0.5)
d. Calculate P (X ≤ 0.5 | Y = 0.25)
Let X and Y be two continuous random variables whose
conditional density function f (x | y) is given by:
f (x | y) = (x + y) / (0.5 + y); 0 ≤ x ≤ 1; 0 ≤ and ≤
1
In addition, the marginal function of Y is known, which
is given by:
f (y) = 0.5 + y; 0 ≤ and ≤ 1
to. Determine the joint distribution function of X and
Y
b. Calculate E (XY)
c. Calculate E (X | Y = 0.5)
d. Calculate P (X ≤ 0.5 | Y = 0.25)