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.

Question

Tristian Stanley

Mathematics

19 March, 20:26

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.

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Answers (1)

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Tianna Bradley · 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
Therefore probability for a 55-year old to find a job in over 19 weeks is 0.9332