Hi! I was able to get help on 1! I'm now just looking for help on question 2 please :) For 2, I'm able to identify the elements of the set and the probability of getting different values each time, but I'm having difficulty generalizing it and I get completely lost at the survival function. My teacher made this worksheet up herself, or so she said: There's no textbook or anything to reference here.

2. [10 pts] Let S be a set with n distinct elements. Suppose elements are drawn from S randomly in successive independent trials with replacement until some element is drawn for the second time. LetX denote the number of draws which take place. a. What are the possible values of X ? b. Recall that the survival function associated with X is defined by 3;; (x) E P(X > x) for all real x. Find an explicit formula for Sx(x). 0. Verify that your formula from Part b satisfies 5;; (1) = 1 , and explain this result intuitively. d. Use your formula from Part b to find formulas for the cdf FX and pmffX