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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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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