More ESP In another experiment with Jane Doe from the previous exercise, she had to predict which of five numbers was chosen in each of three trials. Jane Doe does not actually have ESP and is just randomly guessing.

Explain why this experiment satisfies the three conditions for the binomial distribution by answering parts a–c.

a. For the analogy with coin flipping, what plays the role of (head, tail)?

b. Explain why it is sensible to assume the same probability of a correct guess on each trial. What is this probability?

c. Explain why it is sensible to assume independent trials.