2. Distribution of a function of uniformly distributed random variable] Let X be a random variable uniformly distributed in [0, 1] and let O be a random variable uniformly distributed in [-w/2, x/2]. (a) Find the CDF, pdf and expected value of the random variable Y = X". (b) Find the CDF and pdf of the random variable Y = tan(O). Note that the tan function increases from -oo to co when the angle increases from -7/2 to * /2. (c) Find the mean of Y = cos(0)