Question

According to a recent report, 60% of U.S. college graduates cannot find a full time job in their chosen profession. Assume 73% of the college graduates who cannot find a job are female and that 18% of the college graduates who can find a job are female.


Given a male college graduate, find the probability he cannot find a full time job in his chosen profession.

Answer 1

P(US college graduate cannot find job) = 0.60

P(Cannot find a job are female) = 0.73

Therefore, P(Cannot find a job are male) = 1-0.73 = 0.27

P(Can find a job are female) =0.18

P(Can find a job are male) = 1-0.18 = 0.82

P(Male) = P(Cannot find ajob)*P(Cannot find a job are male) +P(Can find a job)*P(Can find a job are male)

= 0.60*0.27+0.40*0.82 = 0.49

P(Cannot find a job|Male) = P(Cannot find ajob)*P(Cannot find a job are male)/ P(Male)

= 0.60*0.27/0.49

=0.162/0.49

=0.3306

Answer: Prob. = 0.331