Let $(x,y)=x^2{y}^2$ be the density function for the region $R=\{(x,y)$:$x^2{y}^{2}1,y0,x0\}.$ Which of the following is correct? cevap D

I. $M={\displaystyle \underset{-1}{\overset{0}{}}}{\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{1-x^2}}{}}}(x^2{y}^2)dydx$

II$.\stackrel{}{x}=\frac{1}{M}{\displaystyle \underset{-1}{\overset{0}{}}}{\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{1-x^2}}{}}}(x^2{y}^2)dydx$

III. $\frac{?}{\text{b}\text{a}\text{r}}(y)={\displaystyle \underset{-1}{\overset{0}{}}}{\displaystyle \underset{0}{\overset{\sqrt[\phantom{2}]{1-x^2}}{}}}y(x^2{y}^2)dydx$

A$.$ I,II$,$III

B$.$ I,II

C$.$ II$,$III

D$.$ I

E$.$ II

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