Question: LetY1andY2have the joint pdf 2 if 0 < y1 < y2 <1; f(y1,y2) =0 otherwise. 1. Find the marginal probability density functions. 2. Find the

LetY1andY2have the joint pdf

2 if 0< y1< y2<1;

f(y1,y2) =0 otherwise.

1. Find the marginal probability density functions. 2. Find the conditional pdf ofY1givenY2=y2.

3. Find the conditional mean ofY1givenY2=y2. 4. CalculateP(0< Y1<1>

5. Find the correlation coefficient.

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