.Check if the following functions are density functions:
Instructions: Please show all work in an organized fashion for full credit. Problem 1.Check if the following functions are density functions: (a)f(x) =x_1[0;1](x) (b)f(x) =x2_1[0;1](x) (c)f(x) =e????x_1[0;1)(x) Problem 2.Compute the cumulative distribution functionFof the following densities: (a)f(x) = 2x_1[0;1](x) (b)f(x)…