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The Brac University Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normal distribution with a mean of 171 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 168 cm and 179 cm; 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 height requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 91 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. Participants who fall among the lower 13.24% of the accepted height range are required to qualify in some additional physical tests. So, what should the minimum height of an applicant be if they are to skip the additional physical tests? Answer in exact fraction, or rounded to at least decimal places. cm

The Brac University Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normal distribution with a mean of 171 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 168 cm and 179 cm; 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 height requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 91 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. Participants who fall among the lower 13.24% of the accepted height range are required to qualify in some additional physical tests. So, what should the minimum height of an applicant be if they are to skip the additional physical tests? Answer in exact fraction, or rounded to at least decimal places. cm

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 Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normal distribution with a mean of 171 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 168 cm and 179 cm; 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 height requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 91 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. Participants who fall among the lower 13.24% of the accepted height range are required to qualify in some additional physical tests. So, what should the minimum height of an applicant be if they are to skip the additional physical tests? Answer in exact fraction, or rounded to at least 2 decimal places. cm
Transcribed Image Text:The Brac University Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normal distribution with a mean of 171 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 168 cm and 179 cm; 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 height requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 91 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. Participants who fall among the lower 13.24% of the accepted height range are required to qualify in some additional physical tests. So, what should the minimum height of an applicant be if they are to skip the additional physical tests? Answer in exact fraction, or rounded to at least 2 decimal places. cm
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