In Example 11 on ESP, John Doe had to predict which of five numbers was chosen in each of three trials. Doe did not actually have ESP. 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.
c. Explain why it is sensible to assume independent trials.