please may i have help with both parts of 3)

(3) Let {X} be a sequence of independent and identically distributed uniform on (0,1) random variables. Let 0 *}. (a) Show that: P(N(x) > *) - [2 marks] (b) Recall that the moment generating function of a random variable Y on the non-negative integers {0,1,2,...) is defined by: Elt""P(Y = n). n! 0 Show that: E[N] = (1 - 1)ets +1 [3 marks) 11 (3) Let {X} be a sequence of independent and identically distributed uniform on (0,1) random variables. Let 0 *}. (a) Show that: P(N(x) > *) - [2 marks] (b) Recall that the moment generating function of a random variable Y on the non-negative integers {0,1,2,...) is defined by: Elt""P(Y = n). n! 0 Show that: E[N] = (1 - 1)ets +1 [3 marks) 11