document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876046>Question 876046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find exact probabilities showing all required computation.<BR>\n" );
document.write( " Five fair coins are tossed. Find the probability of the coins showing;<BR>\n" );
document.write( " A: At least four heads<BR>\n" );
document.write( " B: At least three heads<BR>\n" );
document.write( " c: At least two heads<BR>\n" );
document.write( " D: At least one head </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528545 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528545\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find exact probabilities showing all required computation.<BR>\n" );
document.write( "Five fair coins are tossed. Find the probability of the coins showing;\r<BR>\n" );
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document.write( "Let X = number of heads appearing on tossing a fair coin five times. <BR>\n" );
document.write( "X~Binomial(5, 0.5)\r<BR>\n" );
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document.write( "A: At least four heads<BR>\n" );
document.write( "P(X &#8805; 4) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+4%2C+5%29 ALIGN=MIDDLE  ALT=\"sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+4%2C+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.1875%29 ALIGN=MIDDLE  ALT=\"highlight%280.1875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B: At least three heads<BR>\n" );
document.write( "P(X &#8805; 3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+3%2C+5%29 ALIGN=MIDDLE  ALT=\"sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+3%2C+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.5%29 ALIGN=MIDDLE  ALT=\"highlight%280.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c: At least two heads<BR>\n" );
document.write( "P(X &#8805; 2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+2%2C+5%29 ALIGN=MIDDLE  ALT=\"sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+2%2C+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.8125%29 ALIGN=MIDDLE  ALT=\"highlight%280.8125%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "D: At least one head<BR>\n" );
document.write( "P(X &#8805; 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+1%2C+5%29 ALIGN=MIDDLE  ALT=\"sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+1%2C+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.96875%29 ALIGN=MIDDLE  ALT=\"highlight%280.96875%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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