Consider the beta probability density function

$f(y)=\{\begin{array}{cc}A{x}^0(1-x{)}^3,& 0x1\\ 0,& \text{o}\text{t}\text{h}\text{e}\text{r}\text{w}\text{i}\text{s}\text{e}& \end{array}$

a$)$ What are the values of the parameters $"a"$ and $"$b$"?$

b$)$ Find the value of $A.$

c$)$ What is the expectation of this distribution?