2.1 Solve the below problem (show all calculations). Let Y, and Y, be random variables with joint density function 0s y, s1, 0 s y2 S 1, 0< y2+y; <1 2, 0, elsewhere. The marginal density function of f(i) = 2(1 – y,), 0sy, <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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2.1 Solve the below problem (show all calculations).
Let Y, and Y2 be random variables with joint density function
0s y, < 1,
0,
2,
0 s y2 <1, 0<y2 +Y1 <1
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 0s y, < 1, 0, 2, 0 s y2 <1, 0<y2 +Y1 <1 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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