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 104 points and a standard deviation of 22 points. To have a shot at joining the team, one must have an IQ between 93 points and 137 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 80 percentile value for the IQ of the participants. Answer in exact fraction, or rounded to at least 2 decimal places.

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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 104 points and a standard deviation of 22 points. To have a shot at joining the team, one must have an IQ between 93 points
and 137 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 80 percentile value for the IQ of the participants.
Answer in exact fraction, or rounded to at least 2 decimal places.
points
c. Team members with IQ among the bottom 14.97% of the accepted range are required to attend extra training sessions. What should be the minimum
IQ of a debater who wishes to avoid the extra training sessions?
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 104 points and a standard deviation of 22 points. To have a shot at joining the team, one must have an IQ between 93 points and 137 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 80 percentile value for the IQ of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. points c. Team members with IQ among the bottom 14.97% of the accepted range are required to attend extra training sessions. What should be the minimum IQ of a debater who wishes to avoid the extra training sessions? Answer in exact fraction, or rounded to at least 2 decimal places. points
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