The Brac University Debate Team is looking for new members to join the team. The IQ of all the try-out participants is known to follow a normal distribution with a mean of 99 points and a standard deviation of 18 points. To have a shot at joining the team, one must have between 96 points and 116 points; otherwise the team may end up imbalanced and incompatible. a. What is the probability that a randomly selected try-out participant will not satisfy the IQ requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 83 percentile value for the IQ of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. points c. The captain of the team should be among the top 13.81% of the accepted IQ range. So, what is the minimum IQ the debate coach should look for while picking a captain? Answer in exact fraction, or rounded to at least 2 decimal places.