document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984050>Question 984050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sleeping pill is effective for 75% of the population. If 160 patients are given this sleeping pill then what is the probability or approximate probability that 125 patients or more will sleep better?\r<BR>\n" );
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document.write( "I want to determine the binomial probability of exactly x successes in n independent trials, when the probability of exactly one success in one trial is p. Here n = 160 and p=.75\r<BR>\n" );
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document.write( "We want to find the success of 125 or more, so that would be patients 125 - 160. My difficulty is writing this \"shorthand.\" I don't want to have to write out 35 equations if I don't have to...<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 #604840 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A sleeping pill is effective for 75% of the population. If 160 patients are given this sleeping pill then what is the probability or approximate probability that 125 patients or more will sleep better?\r<BR>\n" );
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document.write( "I want to determine the binomial probability of exactly x successes in n independent trials, when the probability of exactly one success in one trial is p. Here n = 160 and p=.75\r<BR>\n" );
document.write( "\n" );
document.write( "We want to find the success of 125 or more, so that would be patients 125 - 160. My difficulty is writing this \"shorthand.\" I don't want to have to write out 35 equations if I don't have to...<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><u><b>Excel:</u></b><BR>\n" );
document.write( "BINOMDIST(124,160,.75,1)<BR>\n" );
document.write( "This indicates the CUMULATIVE probability of 124, or less, or 0 - 124, which should give you: .79291422<BR>\n" );
document.write( "You then subtract this CUMULATIVE probability from 1 to get the CUMULATIVE probability of 125 and more, or 125 - 160<BR>\n" );
document.write( "Final result: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+.79291422 ALIGN=MIDDLE  ALT=\"1+-+.79291422\"   DISABLED_style= \"max-width:90%; height:auto;\" > -------> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28.20708578%29 ALIGN=MIDDLE  ALT=\"highlight_green%28.20708578%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can also do this calc. on the TI-83/84 calculator. </SPAN>\n" );
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