Question

It takes an average of 22 weeks for someone over 55 to find a new job, compared with 16 weeks for younger workers. assume 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 then 19 weeks to find a job.

Answer 1

(a) someone over 55
mean, mu = 22
standard deviation, sigma = 2
X=19
Z(X)=(X-mu)/sigma=(19-22)/2=-1.5
P(x>X)=1-P(x<X)=1-0.0668072=0.9331928
Therefore probability for a 55-year old to find a job in over 19 weeks is 0.9332