Jump to Problem: [2] Problem 2. (15 points) A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 22 times, and the man is asked to predict the outcome in advance. He gets 15 out of 22 correct. What is the probably that he would have done at least this well if he had no ESP? Probability = Note: Use up to 8 decimal places in your answers