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A leading magazine (like Barron's) reported at one time that the average number of weeks an...

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 20.2 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 20.2 weeks and that the population standard deviation is 6.8 weeks. Suppose you would like to select a random sample of 201 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is between 20.8 and 20.9.
P(20.8 < X < 20.9) =

Find the probability that a sample of size n=201n=201 is randomly selected with a mean between 20.8 and 20.9.
P(20.8 < M < 20.9) =

Enter your answers as numbers accurate to 4 decimal places.

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