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 8 workers over the age of 55 take an average of more than 20 weeks to find a job?
b. What is the probability that 20 younger workers average less than 15 weeks to find a job?