Question 2 2.1 Solve the below problem (show all calculations). Let Y, and Y, be random variables with joint density function 2, 0s ys1, 0 < y2 < 1, 0< y, + y, <1 0, elsewhere. 2.1.1 Find the marginal density function of f (y,) and f(y2). 2.2.2 Find E(Y,) and V (Y,) [Hint: You may also identify the distributions of the marginal density functions and use it to find the E (Y,) and V(Y,)].

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Question 2
2.1 Solve the below problem (show all calculations).
Let Y, and Y, be random variables with joint density function
f(Y»v2) ) = {
2,
0s y< 1,
0 < y2 < 1, 0<y, + y, <1
0,
elsewhere.
2.1.1 Find the marginal density function of f (y,) and f(y2).
2.2.2 Find E(Y,) and V (Y,)
[Hint: You may also identify the distributions of the marginal density functions and use it to
find the E (Y,) and V(Y,)].
Transcribed Image Text:Question 2 2.1 Solve the below problem (show all calculations). Let Y, and Y, be random variables with joint density function f(Y»v2) ) = { 2, 0s y< 1, 0 < y2 < 1, 0<y, + y, <1 0, elsewhere. 2.1.1 Find the marginal density function of f (y,) and f(y2). 2.2.2 Find E(Y,) and V (Y,) [Hint: You may also identify the distributions of the marginal density functions and use it to find the E (Y,) and V(Y,)].
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