The snowfall in inches at a particular location is given by the following probability density function: f(x) = x 9 0 ≤ x ≤ 3 = 3 x 2 3 ≤ x ≤ b = 0 x > b • determine the value of b? • determine the cdf? • determine the expected value (or mean) of snowfall? • determine the standard deviation of snowfall? • the investment needed to clear a snowfall of x inches is h(x) = 5x 2 . determine the expected value of investment needed to clear the snowfall?