According to the Bureau of Labor Statistics, it takes an average of 22 weeks for someone over 55 to find a new job, compared with 16 weeks for younger workers (The Wall Street Journal, September 2, 2008). Assume that the probability distributions are normal and that the standard deviation is 2 weeks for both distributions.
(a) What is the probability that it takes a worker over the age of 55 more findajob. 19 weeks to find a than
(b) What is the probability that it takes a younger worker more than 19 weeks to find a job?
(c) What is the probability that it takes a worker over the age of 55 between 23 and 25 weeks to find a job?
(d) What is the probability that it takes a younger worker between 23 and 25 weeks to find a job?
(e) Let's say that the Journal defined the top 5% fastest of younger workers who found jobs as "Rising Stars". If you are a younger worker, how fast do you need to find a job to be considered as a "Rising Star"?