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

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"?