plz help

Let X1, X2, ..., Xn be independent random variables with common Uniform(0, 0) distribution for some arbitrary constant 0 > 0, and define Tn = max { X1, X2, . .., Xn}. a) Show that the cumulative distribution function of Tn is 0 t0. b) Use the definition of convergence in probability to prove that Th converges in probability to 0. c) Consider the random variable Yn = n(0 - Tn) defined for every t E (0, n0). Prove that Y, converges in distribution to a random variable Y, where Y ~ Exponential(0)