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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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