## Question

###### A leading magazine (like Barron's) reported at one time that theaverage number of weeks an individual is unemployed is 37 weeks.Assume that for the population of all unemployed individuals thelength of unemployment is normally distributed where the populationmean length of unemployment is 37 weeks and that the populationstandard deviation is 3 weeks. Suppose you would like to select arandom sample of 33 unemployed individuals for a follow-upstudy.Find the probability that a single randomly

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 37 weeks. Assume that for the population of all unemployed individuals the length of unemployment is normally distributed where the population mean length of unemployment is 37 weeks and that the population standard deviation is 3 weeks. Suppose you would like to select a random sample of 33 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is less than 36. P(X < 36) = Find the probability that a sample of size n = 33 is randomly selected with a mean less than 36. P(M < 36) = Enter your answers as numbers accurate to 4 decimal places.

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