8. According to Engineering News-Record (Dec. 1, 1983), the District of Columbia is now mandating that at least one-half of all the jobs created by city contracts be filled
by local residents. Suppose you want to survey jobs created by city contracts after
the mandate was issued to determine the level of compliance with the new law. If in
fact only 40% of all jobs created by city contracts are filled by local residents:
a) What is the expected number of jobs you would have to survey before you
find one that has been filled by a local resident?
b) What is the probability that you will not find a job filled by a local resident until
after the fourth job surveyed?