A leading magazine reported at one time that the average number of weeks an individual is unemployed is 19 weeks. Assume that for the population of all unemployed individuals the length of...

A leading magazine reported at one time that the average number of weeks an individual is unemployed is 19 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 19 weeks and that the population standard deviation is 8 weeks. Suppose you would like to select a random sample of 30 unemployed individuals for a follow-up study.


Find the probability that a single randomly selected value is less than 18.


P(X
< 18)="">



Find the probability that a sample of size n=30 is randomly selected with a mean less than 18.


P(M
< 18)="">



Enter your answers as numbers accurate to 4 decimal places.