Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 17.5 weeks and that the population standard deviation is four weeks. Suppose you would like to select a sample of 60 unemployed individuals for a follow-up study.

What is the probability that a simple random sample of 60 unemployed individuals will provide a sample mean within 1/2 week

of the population mean? (Round your answer to four decimal places.)