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 93 points and a standard deviation of 20 points. To have a shot at joining the team, one must have between 66 points and 101 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 82 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 12.41% 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. points

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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 93 points and a standard deviation of 20 points. To have a shot at joining the team, one must have between 66 points and
101 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 82 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 12.41% 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.
points
Transcribed Image Text: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 93 points and a standard deviation of 20 points. To have a shot at joining the team, one must have between 66 points and 101 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 82 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 12.41% 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. points
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