2.1 Solve the below problem (show all calculations). Let Y, and Y, be random variables with joint density function 2, 0< y, < 1, 0 < y2 < 1, 0< y2+y1 <1 0, elsewhere. The marginal density function of f(y1) = 2(1– y,), 0

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2.1 Solve the below problem (show all calculations).
Let Y, and Y2 be random variables with joint density function
f(Y1,Y2) ) = {
2,
0 < y, < 1,
0 < y, < 1, 0< y, + y, < 1
0,
elsewhere.
The marginal density function of f(y1) = 2(1– y,), 0< y, < 1
Identify the distribution of the marginal density function f (y1) and use it to find the E (Y,)
and V (Y,).
Transcribed Image Text:2.1 Solve the below problem (show all calculations). Let Y, and Y2 be random variables with joint density function f(Y1,Y2) ) = { 2, 0 < y, < 1, 0 < y, < 1, 0< y, + y, < 1 0, elsewhere. The marginal density function of f(y1) = 2(1– y,), 0< y, < 1 Identify the distribution of the marginal density function f (y1) and use it to find the E (Y,) and V (Y,).
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