The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.4 minutes. 12 runners are randomly

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The Average Time To Run The 5k Fun Run Is 25 Minutes And The Standard Deviation Is 2 4 Minutes 12 Runners Are Randomly 1 (42.15 KiB) Viewed 78 times

The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.4 minutes. 12 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - NO b. What is the distribution of ? - NO c. What is the distribution of a? - N X- d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.0608 and 24.9608 minutes. e. For the 12 runners, find the probability that their average time is between 24.0608 and 24.9608 minutes. f. Find the probability that the randomly selected 12 person team will have a total time less than 304.8. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 20 % of all 12 person team relay races will compete in the championship round. These are the 20% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes