(Solved): 1 The snowfall in inches at a particular location is given by the following probability density func ...

The snowfall in inches at a particular location is given by the following probability density function: $\begin{array}{rr}f(x)=\frac{x}{9}& 0?x?3\\ f(x)=\frac{3}{x^2}& 3?x?a\\ f(x)=0& x>a\end{array}$ a) Determine the value of $a$. b) What is the CDF? c) Determine the expected value (or mean) of snowfall. d) Determine the standard deviation of snowfall. e) The investment needed to clear snowfall of $x$ inches is $h(x)=5x^2$. Determine the expected value of investment needed to clear the snowfall.