The average time to run the 5K fun run is 24 mınutes and the standard deviation is 2.2 minutes. 40 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-N( 24 2.2 b. What is the distribution of r? -N( 24 0.3479 c. What is the distribution of -? > ¤ - N(960 13.910 d. If one randomly selected runner is tımed, find the probability that this runner's time will be between 23.5781 and 23.9781 minutes. 0.0722 e. For the 40 runners, find the probability that their average time is between 23.5781 and 23 9781 minutes. 0,3623 f. Find the probability that the randomly selected 40 person team will have a total time more than 964. 0.3868 g. For part e) and f), is the assumption of normal necessary? No Yes h. The top 10%% of all 40 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relav team can have and still make it to the championship round? minutes

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