The continuous random variable U is uniformly distributed over [0, 1]. a. Determine the distribution function of V = 2U + 7. What kind of distribution does V have? b. Determine the distribution...

The continuous random variable U is uniformly distributed over [0, 1].

a. Determine the distribution function of V = 2U + 7. What kind of distribution does V have?

b. Determine the distribution function of V = rU + s for all real numbers r > 0 and s. See Exercise 8.9 for what happens for negative r.