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 168 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 159 cm and 175 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 80 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. A point guard on the team should be among the top 14.87% of the accepted height range. So, what is the minimum height the coach should look for while picking a point guard? Answer in exact fraction, or rounded to at least 2 decimal places. cm

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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 168 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 159 cm and 175
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 80 percentile value for the height of the participants.
Answer in exact fraction, or rounded to at least 2 decimal places.
cm
c. A point quard on the team should be among the top 14.87% of the accepted height range. So, what is the minimum height the coach should look for while
picking a point guard?
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 168 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 159 cm and 175 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 80 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. A point quard on the team should be among the top 14.87% of the accepted height range. So, what is the minimum height the coach should look for while picking a point guard? Answer in exact fraction, or rounded to at least 2 decimal places. cm
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