a. What is the probability that Elcin has to wait longer than four and three quarter hours, before he's allowed to drive? What is the probability that he has to wait less than four and a quarter hours? What is the probability that the switch happens between four hours twenty minutes and four hours forty minutes?
b. Suppose you discover that Ceiddwen was driving for at least the first four and a half hours of the trip (e.g. you couldn't reach her on her cell phone). What is the probability that `That's the story of my life' was never played? What is the probability that `That's the story of my life' was played exactly ten times?
When she arrives in DC, Ceiddwen decides to test her friend Neepa's problem solving skills. She tells her that 60 tracks were played, that the switch took place more than four and a half hours after the start of the trip, and that the CD played was either The Velvet Underground or Infected. Neepa works out the probability of each CD using Bayesian analysis.
c. What probabilities does Neepa calculate? Is Ceiddwen's question fair?