The random variable X is continuous and uniform in [-1, 1] with probability density function given by
f(x)=1/2 -1=
Consider the variable Y such that
Y = 2X^2 - X .
Answer the following questions:
a) determine the sample space of Y;
b) determine analytically and plot the probability density function of Y;
c) compute the mean and variance of Y;
d) compute the probability that Y>2.