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A random variable $Y$ has the following density function. Find:

$f(y)=\{\begin{array}{ccc}\frac{1}{4}{y}^3& \text{f}\text{o}\text{r}& 0y2\\ 0& \text{e}\text{l}\text{s}\text{e}\text{w}\text{h}\text{e}\text{r}\text{e}& \end{array}$

$P(0\mathrm{.}5y1\mathrm{.}5)$

$P(y1\mathrm{.}5)$

$P(y>1)$