(1 point) A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 20 times, and the man is asked to predict the outcome in advance. He gets 15 out of 20 correct. What is the probability 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.(1 point) Find the number of distinguishable permutations of the given letters AAABBBCCC". There are distinguishable permutations. If a permutation is chosen at random, what is the probability that it begins with at least 2 A's? Round off your answer to 4 decimal places. The probability is(1 point) -1.17 -8.27 Find the area under the normal curve between z= -1.17 and z= -0.27. Express your answer as a decimal. Round to 4 decimal places after the decimal point