(Solved): plz need help The joint probability distribution of two random variables X,Y is given in the table ...

The joint probability distribution of two random variables $$X,Y$$ is given in the table below. From the information in the table, calculate each of the following three probabilities. (a) $$P(X?0,Y=1)=$$ (b) $$P(X?0)=$$ (c) $$P(Y<5)=$$ Suppose that $$X,Y$$, and $$Z$$ are jointly distributed random variables, that is, they are defined on the same sample spac Suppose that we also have the following. $$\begin{array}{lll}E(X)=3& E(Y)=9& E(Z)=?4\\ \mathrm{Var}(X)=8& \mathrm{Var}(Y)=28& \mathrm{Var}(Z)=7\end{array}$$ Compute the values of the expressions below. $$\begin{array}{r}E(5+5Z)=\\ E\left(\frac{?3Z+X}{4}\right)=\\ \mathrm{Var}(1?Y)=\\ E\left(?4X^2\right)=\end{array}$$