document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152662>Question 1152662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given a binomial distribution with n = 5 and  π=  .25. Determine the probabilities of the following events using the binomial formula. (Round your answers to 4 decimal places.)\r<BR>\n" );
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document.write( "a) x = 2<BR>\n" );
document.write( "b) x = 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774748 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " using the binomial formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=+nCx%2Api%5Ex%281-pi%29%5E%28n-x%29 ALIGN=MIDDLE  ALT=\"P%28x%29=+nCx%2Api%5Ex%281-pi%29%5E%28n-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+5 ALIGN=MIDDLE  ALT=\"n+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi=+.25 ALIGN=MIDDLE  ALT=\"pi=+.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=+5C2%2Api%5E2%281-pi%29%5E%285-2%29 ALIGN=MIDDLE  ALT=\"P%282%29=+5C2%2Api%5E2%281-pi%29%5E%285-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=+5C2%2A.25%5E2%281-.25%29%5E3 ALIGN=MIDDLE  ALT=\"P%282%29=+5C2%2A.25%5E2%281-.25%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5C2=5%21%2F%282%21%285-2%29%21%29=%285%2A4%2A3%2A2%2A1%29%2F%282%2A3%2A2%2A1%29=10 ALIGN=MIDDLE  ALT=\"5C2=5%21%2F%282%21%285-2%29%21%29=%285%2A4%2A3%2A2%2A1%29%2F%282%2A3%2A2%2A1%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=+10%2A.25%5E2%28.75%29%5E3 ALIGN=MIDDLE  ALT=\"P%282%29=+10%2A.25%5E2%28.75%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=+0.2637 ALIGN=MIDDLE  ALT=\"P%282%29=+0.2637\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=+nCx%2Api%5Ex%281-pi%29%5E%28n-x%29 ALIGN=MIDDLE  ALT=\"P%28x%29=+nCx%2Api%5Ex%281-pi%29%5E%28n-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=3 ALIGN=MIDDLE  ALT=\"+x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+5 ALIGN=MIDDLE  ALT=\"n+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi=.25 ALIGN=MIDDLE  ALT=\"pi=.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29=+5C3%2Api%5E2%281-pi%29%5E%285-3%29 ALIGN=MIDDLE  ALT=\"P%283%29=+5C3%2Api%5E2%281-pi%29%5E%285-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29=+5C3%2A.25%5E2%281-.25%29%5E2 ALIGN=MIDDLE  ALT=\"P%283%29=+5C3%2A.25%5E2%281-.25%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5C3=5%21%2F%283%21%285-3%29%21%29=%285%2A4%2A3%2A2%2A1%29%2F%282%2A3%2A2%2A1%29=10 ALIGN=MIDDLE  ALT=\"5C3=5%21%2F%283%21%285-3%29%21%29=%285%2A4%2A3%2A2%2A1%29%2F%282%2A3%2A2%2A1%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29=+10%2A.25%5E2%28.75%29%5E2 ALIGN=MIDDLE  ALT=\"P%283%29=+10%2A.25%5E2%28.75%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29=+0.3516 ALIGN=MIDDLE  ALT=\"P%283%29=+0.3516\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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