Question: 1. (50 points) Let the joint probability density function of random variables $(X, Y)$ by given by $$ f(x, y)=left{begin{array}{11} frac{6}{5}left(x+y^{2} ight) & 0

1. (50 points) Let the joint probability density function of random

1. (50 points) Let the joint probability density function of random variables $(X, Y)$ by given by $$ f(x, y)=\left\{\begin{array}{11} \frac{6}{5}\left(x+y^{2} ight) & 0

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