The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.5 minutes. 15 runners are randomly selected to run the 5K fun run. In a 15 runner relay race each runner runs 5K. Round all answers to two decimal places and assume a normal distribution. Include your work in the upload file, the work is worth 5 points in this problem. A. What is the distribution of sample sums for samples of size 15 in this case? E x- B. Find the probability that a 15 person team will have a total time less than 320. Graph this probability as an area under the curve in your upload file. C. The top 10% of all 15 person team relay races will compete in the championship round. What is the longest total time that a relay team can have and still make it to the championship round? minutes.

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Question 4
25 pts
The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.5 minutes.
15 runners are randomly selected to run the 5K fun run. In a 15 runner relay race each runner
runs 5K. Round all answers to two decimal places and assume a normal distribution. Include
your work in the upload file, the work is worth 5 points in this problem.
A. What is the distribution of sample sums for samples of size 15 in this case? E x-
B. Find the probability that a 15 person team will have a total time less than 320.
Graph this probability as an area under the curve in your upload file.
C. The top 10% of all 15 person team relay races will compete in the championship round.
What is the longest total time that a relay team can have and still make it to the
championship round?
minutes.
Transcribed Image Text:Question 4 25 pts The average time to run the 5K fun run is 23 minutes and the standard deviation is 2.5 minutes. 15 runners are randomly selected to run the 5K fun run. In a 15 runner relay race each runner runs 5K. Round all answers to two decimal places and assume a normal distribution. Include your work in the upload file, the work is worth 5 points in this problem. A. What is the distribution of sample sums for samples of size 15 in this case? E x- B. Find the probability that a 15 person team will have a total time less than 320. Graph this probability as an area under the curve in your upload file. C. The top 10% of all 15 person team relay races will compete in the championship round. What is the longest total time that a relay team can have and still make it to the championship round? minutes.
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