The Stanford 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 175 cm and a standard deviation of 10 cm. To have a shot at joining the team, one must have a height between 156 cm and 177 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? b. Determine the 91 percentile value for the height of the participants. c. A point guard on the team should be among the top 16.04% of the accepted height range. So, what is the minimum height the coach should look for while picking a point guard? Note:Answer in exact fraction, or rounded to at least 2 or 4 decimal places.
The Stanford 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 175 cm and a standard deviation of 10 cm. To have a shot at joining the team, one must have a height between 156 cm and 177 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? b. Determine the 91 percentile value for the height of the participants. c. A point guard on the team should be among the top 16.04% of the accepted height range. So, what is the minimum height the coach should look for while picking a point guard? Note:Answer in exact fraction, or rounded to at least 2 or 4 decimal places.
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 Stanford 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 175 cm and a standard deviation of 10 cm. To have a shot at joining the team, one must have a height between 156 cm and 177 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?
b. Determine the 91 percentile value for the height of the participants.
c. A point guard on the team should be among the top 16.04% of the accepted height range . So, what is the minimum height the coach should look for while picking a point guard?
Note:Answer in exact fraction, or rounded to at least 2 or 4 decimal places.
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