document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=240261>Question 240261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have an idea where to start but would appreciate any guidance you can provide.\r<BR>\n" );
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document.write( "Four hundred people apply for three jobs. 110 of the applicants are women. \r<BR>\n" );
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document.write( "a) If three persons are selected at random, what is the probability that all are women? (Round the answer to six decimal places.) \r<BR>\n" );
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document.write( "(b) If three persons are selected at random, what is the probability that two are women? (Round the answer to six decimal places.)\r<BR>\n" );
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document.write( "(c) If three persons are selected at random, what is the probability that one is a woman? (Round the answer to six decimal places.)\r<BR>\n" );
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document.write( "(d) If three persons are selected at random, what is the probability that none is a woman? (Round the answer to six decimal places.)\r<BR>\n" );
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document.write( "(e) If you were an applicant, and the three selected people were not of your gender, should the above probabilities have an impact on your situation? Why? \r<BR>\n" );
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document.write( "(Yes),the probabilities indicate the presence of gender discrimination. <BR>\n" );
document.write( "(No),because in the hiring process all outcomes are not equally likely.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #176084 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=176084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Four hundred people apply for three jobs. 110 of the applicants are women. <BR>\n" );
document.write( "a) If three persons are selected at random, what is the probability that all are women? (Round the answer to six decimal places.)<BR>\n" );
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document.write( "ways to pick 3 women: 110C3<BR>\n" );
document.write( "ways to pick 3 persons: 400C3<BR>\n" );
document.write( "Prob. = 110C3/400C3 = 215820/10586800 = 0.020386..<BR>\n" );
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document.write( "(b) If three persons are selected at random, what is the probability that two are women? (Round the answer to six decimal places.)<BR>\n" );
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document.write( "Binomial with n = 3, p= 110/400, x=2<BR>\n" );
document.write( "Ans: 3C2(110/400)^2(290/400) or binompdf(3,110/400,2) = 0.164484...<BR>\n" );
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document.write( "(c) If three persons are selected at random, what is the probability that one is a woman? (Round the answer to six decimal places.)<BR>\n" );
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document.write( "Comment: Same process as \"b\".<BR>\n" );
document.write( "Ans binompdf(3,110/400,1)= 0.433641..<BR>\n" );
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document.write( "(d) If three persons are selected at random, what is the probability that none is a woman? (Round the answer to six decimal places.)<BR>\n" );
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document.write( "Same as \"b\" and \"c\" with x = 0<BR>\n" );
document.write( "Ans: 0.381078...<BR>\n" );
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document.write( "(e) If you were an applicant, and the three selected people were not of your gender, should the above probabilities have an impact on your situation? Why? <BR>\n" );
document.write( "(Yes),the probabilities indicate the presence of gender discrimination. <BR>\n" );
document.write( "(No),because in the hiring process all outcomes are not equally likely. <BR>\n" );
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document.write( "I'll leave that for you to decide.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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