document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107236>Question 107236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 75% males and 25% females. The agency calls 25 people chosen at random from its list.<BR>\n" );
document.write( "(a) What is the probability that 17 of the 25 people are men?<BR>\n" );
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document.write( "(b) What is the probability that the first woman is reached on the 8th call?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78032 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=78032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 75% males and 25% females. The agency calls 25 people chosen at random from its list.<BR>\n" );
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document.write( "P(man)= 0.75<BR>\n" );
document.write( "P(woman) = 0.25<BR>\n" );
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document.write( "(a) What is the probability that 17 of the 25 people are men?\r<BR>\n" );
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document.write( "Prob(x=17) = 25C17(0.75)^17(0.25)^8 = 0.1241....<BR>\n" );
document.write( "I used binompdf(25,0.75,17) with a TI-83 to get the decimal answer.<BR>\n" );
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document.write( "(b) What is the probability that the first woman is reached on the 8th call? <BR>\n" );
document.write( "P(1st woman on 8th) = 0.75^7(0.25)= 0.33371<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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