Problems
- (5 points) Textbook problem 4.3
- (10 points) Textbook problem 4.5. In parts (a) to (d), your answers should be probability distributions. In part (e), provide an explanation for your answer.
- (5 points) Textbook problem 4.7
- (5 points) Textbook problem 4.11. Assume the players are drawing from a standard deck without replacement.
- (5 points) Textbook problem 4.14
- (5 points) Textbook problem 4.17
- (5 points) Textbook problem 4.20. You must state the method for dividing the stakes and calculate how much should be given to each player. Textbook problem 4.21 provides a hint.
- (10 points) Textbook problem 4.23. Do both parts of this problem by simulation with \( N = 10^5 \) trials and submit your answers as graphs of functions of \( p \) where \( p = 0.1, 0.2, \ldots, 0.9, 1 \). Submit your code for both parts of this problem by pasting it in your pdf, not in separate files.