Problems
- (10 points) Textbook problem 4.2
- (10 points) Textbook problem 4.6. Express your answers using choose and/or summation notation. There's no need to compute numerical answers.
- (10 points) Textbook problem 4.7
- (10 points) Textbook problem 4.20. You must state the method for dividing the stakes and calculate how much should be given to each player.
- (10 points) Textbook problem 4.23. Do both parts of this problem. For part (b) of this problem, simulate with \( N = 10^5 \) trials and submit your answer as a graph (plot) of a function of \( p \) where \( p = 0.1, 0.2, \ldots, 0.9, 1 \). Submit your code for this problem by pasting it in your pdf, not in a separate file.
- (2 extra points) Textbook problem 4.14.