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1.Suppose Emergency Department (ED) length of stay (LOS), measured in hours, at Hospital ABC has a mean of 4 and a standard deviation of 3.Show

1.Suppose Emergency Department (ED) length of stay (LOS), measured in hours, at Hospital ABC has a mean of 4 and a standard deviation of 3.Show your work.Be sure to explicitly state the probability statement you are trying to solve.Represent answer as a percent rounded to 2 decimal places.

a.What is the probability that the mean ED LOS is less than 2 hrs in a sample of 100 patients?

b.What is the probability that the mean ED LOS exceeds 4.5 hrs in a sample of 40 patients?

c.If samples of size n = 75 are selected from the population, what percent of sample means would you expect to be between 3 and 5 hrs?

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