Note: Answer the Question(s) by Using the TI-30XA (or other approved) Calculator

Question

Note: Answer the Question(s) by Using the TI-30XA (or other approved) Calculator. IMPORTANT: Make sure you carry all decimals until you reach your answer, then round to four decimals. According to a recent report, 60% of U.S. college graduates cannot find a full time job in their chosen profession. Assume 57% of the college graduates who cannot find a job are female and that 39% 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? (See exercise 58 on page 220 of your textbook for a similar problem.) Probability

Explanation / Answer

probability of male graduate =P(can not find full time job and male+find full time job and male)

=0.60*(1-0.57)+(1-0.6)*(1-0.39)=0.502

hence probability of can not find full time job given male

=P(can not find full time job and male)/P(male) =0.60*(1-0.57)/0.502=0.5139

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