A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 27.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 27.5 weeks and that the population standard deviation is 7.2 weeks. Suppose you would like to select a random sample of 153 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 27.4 and 28.5. P(27.4 < X < 28.5) = ________

Find the probability that a sample of size n=153 is randomly selected with a mean between 27.4 and 28.5. P(27.4 < M < 28.5) = _________

Enter your answers as numbers accurate to 4 decimal places.