G and h please The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.7 minutes. 16 runners arerandomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume anormal distribution.a. What is the distribution of X? X- N(b. What is the distribution of ? - N(c. What is the distribution of x? x - N(d. If one randomly selected runner is timed, find the probability that this runner's time will be between23.1875 and 23.9875 minutes.e. For the 16 runners, find the probability that their average time is between 23.1875 and 23.9875minutes.f. Find the probability that the randomly selected 16 person team will have a total time less than 372.8.g. For part e) and f), is the assumption of normal necessary? O NoO Yesh. The top 10% of all 16 person team relay races will compete in the championship round. These are the10% lowest times. What is the longest total time that a relay team can have and still make it to thechampionship round?minutesHint:Some Helpful Videos:• Finding the Sampling Distribution [+]• Finding a Probability Using the Central Limit Theorem [+]• Finding Value Given a Probability Using the Central Limit Theorem [+]• The Central Limit Theorem For Sums [+]Hint 2

Name: G and h please The average time to run the 5K fun run is 24 minutes an
Uploaded: 2024-03-20T06:38:44.000Z
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Description: G and h please The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.7 minutes. 16 runners arerandomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume anormal distribution