document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086239>Question 1086239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	The distribution of blood types in the United States is as follows:<BR>\n" );
document.write( "O-positive: 	38 %<BR>\n" );
document.write( "O-negative: 	7 %<BR>\n" );
document.write( "A-positive: 	34 %<BR>\n" );
document.write( "A-negative: 	6 %<BR>\n" );
document.write( "B-positive: 	9 %<BR>\n" );
document.write( "B-negative: 	2 %<BR>\n" );
document.write( "AB-positive: 	3 %<BR>\n" );
document.write( "AB-negative: 	1 %\r<BR>\n" );
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document.write( "a.	What percentage of the population is Rh positive? \r<BR>\n" );
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document.write( "b.	Given that a person is Rh negative, what is the probability that he or she will be type 0, a universal donor?\r<BR>\n" );
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document.write( "c.	If you randomly select 15 people from the U.S. population, what is the probability that at least one person will have type AB blood?\r<BR>\n" );
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document.write( "d.	Would you expect a similar result if you sampled 15 people from Asia?  Explain<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700402 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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/cgi-bin/show-face.mpl?user=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "1.	The distribution of blood types in the United States is as follows:<BR>\n" );
document.write( "O-positive: 	38 %<BR>\n" );
document.write( "O-negative: 	7 %<BR>\n" );
document.write( "A-positive: 	34 %<BR>\n" );
document.write( "A-negative: 	6 %<BR>\n" );
document.write( "B-positive: 	9 %<BR>\n" );
document.write( "B-negative: 	2 %<BR>\n" );
document.write( "AB-positive: 	3 %<BR>\n" );
document.write( "AB-negative: 	1 %<BR>\n" );
document.write( "a.	What percentage of the population is Rh positive? <BR>\n" );
document.write( "b.	Given that a person is Rh negative, what is the probability that he or she will be type 0, a universal donor?<BR>\n" );
document.write( "c.	If you randomly select 15 people from the U.S. population, what is the probability that at least one person will have type AB blood?<BR>\n" );
document.write( "d.	Would you expect a similar result if you sampled 15 people from Asia?  Explain<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "(a) Percentage of Rh+ =(38+34+9+3)=84%<BR>\n" );
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document.write( "(b) <BR>\n" );
document.write( "P(O|+)<BR>\n" );
document.write( "=P(O&cap;+)/P(+)<BR>\n" );
document.write( "=0.38/0.84<BR>\n" );
document.write( "=19/42<BR>\n" );
document.write( "(=p.4524, approx.)<BR>\n" );
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document.write( "(c)<BR>\n" );
document.write( "We calculate the probability of no AB from a sample of 15, and subtract from 1.0 to get P(at least one AB).<BR>\n" );
document.write( "P(no AB)=1-(0.03+0.01)=0.96<BR>\n" );
document.write( "P(15 no AB)=0.96^15=0.5421 (approx.)<BR>\n" );
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document.write( "P(at least one AB out of 15)<BR>\n" );
document.write( "=1-0.5421<BR>\n" );
document.write( "=0.4579<BR>\n" );
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document.write( "(d) no, won't expect the same proportions. Percentages vary greatly with geography. </SPAN>\n" );
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