document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000547>Question 1000547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Tutor,<BR>\n" );
document.write( "I am having a hard time solving contingency table and answer the following questions. Thank you in advance.\r<BR>\n" );
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document.write( "Hair Type  Brown  Blond  Black  Red  Totals<BR>\n" );
document.write( "Wavy       20      5       15     3     43<BR>\n" );
document.write( "Straight   80      15      65     12    172<BR>\n" );
document.write( "Totals     100     20      80     15    215\r<BR>\n" );
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document.write( "Table 3.22\r<BR>\n" );
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document.write( "c.What is the probability that a randomly selected child will have either brown or blond hair?\r<BR>\n" );
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document.write( "- I am really confused with this question. I would say use P(brown)+P(blond)-P(brown AND blond). 80/215+20/215-(100/120+ 20/120)\r<BR>\n" );
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document.write( "d.What is the probability that a randomly selected child will have wavy brown hair?\r<BR>\n" );
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document.write( "-43/215\r<BR>\n" );
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document.write( "e.What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?\r<BR>\n" );
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document.write( "-P(red|straight) = P(red AND straight)/P(straight) = 12/172\r<BR>\n" );
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document.write( "f.If B is the event of a child having brown hair, find the probability of the complement of B.\r<BR>\n" );
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document.write( "-probability of the complement of B will be all the hair except B. 115/215\r<BR>\n" );
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document.write( "g.In words, what does the complement of B represent? Red, blod, black hair. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617954 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=617954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hair Type  Brown  Blond  Black  Red  Totals<BR>\n" );
document.write( "Wavy       20      5       15     3     43<BR>\n" );
document.write( "Straight   80      15      65     12    172<BR>\n" );
document.write( "Totals     100     20      80     15    215<BR>\n" );
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document.write( "c.What is the probability that a randomly selected child will have either brown or blond hair?<BR>\n" );
document.write( "P(brown or blond) = (100+20)/215  <BR>\n" );
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document.write( "d.What is the prob that a randomly selected child will have wavy brown hair?<BR>\n" );
document.write( "P(wavy and brown) = 20/215<BR>\n" );
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document.write( "e.What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?<BR>\n" );
document.write( "P(red | straight) = 12/172<BR>\n" );
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document.write( "f.If B is the event of a child having brown hair, find the probability of the complement of B.<BR>\n" );
document.write( "[P(brown)]' = (215-100)/215 = 1-(100/215) = 115/215<BR>\n" );
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document.write( "g.In words, what does the complement of B represent? Red, blod, black hair.<BR>\n" );
document.write( "Depends on what \"B\" means<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------- </SPAN>\n" );
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