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 97 points and a standard...

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 97 points and a standard deviation of 17 points. To have a shot at joining the team, one must have an IQ between 87 points and 122 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?

b. Determine the 80 percentile value for the IQ of the participants.

c. Team members with IQ among the bottom 11.58% 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.

Jun 07, 2022

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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 97 points and a standard...

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