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 than 19 weeks to find a job?
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?