Please show all work I need to understand how to do this 33

Please show all work. I need to understand how to do this.

3.3 The probability density function of the random variable Xis given by elsewhere. a. Find the cumulative distribution function of the random variable X. b. Sketch f (x) and F(x) on the same graph.

Solution

F(x) = 1, x >1

= (x^3+1)/2 , -1

= 0, x<-1

f(x) = , -1

Graph is shown below: