Question 1. Answer all parts John and Jane found that the probability of getting a job in a bank was calculated as 0.4. Assume that in this situation that you are only considering that either they have a bank job or not as the only two options a) If we have a sample of 4 young adults going for a bank job. What is the probability that all four have the job? b) The probability of a randomly drawn individual getting the bank job is 0.4 What is the probability that two out of four applicants get a bank job? (20 marks) c) Jane suggests that they try throwing a fair coin. Joh says what about using a coin with two heads. You initially assign probabilities of 0.5 to each probability The coin is then tossed three times with heads appearing each time (heads three times in a row). Use Bayes' theorem to work out the posterior probability that the coin is fair (30 marks)