1. Determine a theoretical histogram for $f_x(x) = e^{-x}$, $x \ge 0$, with $K = 5$ and equally spaced intervals \newline $x_i = 0, 1, 2, 3, 4, 5$, $i = 0, 1, \dots, 5$.
2. Determine a theoretical histogram for $f_x(x) = e^{-x}$, $x \ge 0$, for equal probability intervals with $K = 5$ \newline and $x_5 = 5$.