The probability density function of X, the lifetime (in hours) of an electronic device, is f(x) = {10 x^-2, x > 10; 0, otherwise. Show that the random variable Y = 10X^-1 is U(0,1) by doing the following: (a) Show that the possible values of Y are in (0,1). (b) (Try to) calculate the c.d.f., P(Y <= y), for 0 < y < 1. (c) Differentiate the c.d.f. of Y to obtain the p.d.f. of Y.