1. Suppose you throw a die n times. Let xi be the ith number you throw on the die and m = max1in{xi}, i.e. the maximum number you throw.
2. (a)(4 points) When n = 2, what is E[m]?
3. (b)(6 points) If you get m = 6 at last, you win six points. Otherwise, you don't get
4. any point. How many points you expect to win in terms of n?
5. (c)(8 points) What is E[m] in terms of n?