document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171779>Question 1171779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The chance that a U.S. police chief believes the death penalty \"significantly reduces the number of homicides\" is one in four. If a random sample of eight police chiefs is selected, find the probability that at most three believe that the death penalty significantly reduces the number of homicides.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796693 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52776)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is a binomial distribution type problem.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I will use the Excel standard function BINOM.DIST to facilitate calculations.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It has the analogue --- the standard function binompdf in pocket calculators TI-83 and TI-84.\r<BR>\n" );
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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;\">\r\n" );
document.write( "Probability that at most three of 8 do believe is \r\n" );
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document.write( "    P = P(0) + P(1) + P(2) + P(3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28C%288%2Ck%29%2A0.25%5Ek%2A%281-0.25%29%5E%288-k%29%2Ck=0%2C3%29 ALIGN=MIDDLE  ALT=\"sum%28C%288%2Ck%29%2A0.25%5Ek%2A%281-0.25%29%5E%288-k%29%2Ck=0%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = BINOM.DIST(3, 8, 0.25, TRUE) = 0.8862 = 88.62%.      <U>ANSWER</U>\r\n" );
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document.write( "The Excel standard function BINOM.DIST allows calculating this sum in one click.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "On Excel function BINOM.DIST, see its description everywhere, for example\r<BR>\n" );
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document.write( "https://support.office.com/en-us/article/binom-dist-function-c5ae37b6-f39c-4be2-94c2-509a1480770c\r<BR>\n" );
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document.write( "On binompdf function for pocket calculators TI-83 and TI-84 see the link\r<BR>\n" );
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document.write( "http://users.rowan.edu/~schultzl/ti/binomial.pdf\r<BR>\n" );
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document.write( "If you want to see other similar solved problems, look into the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Solving problems on Binomial distribution</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/How-to-calculate-binomial-probabilities-using-Technology.lesson>How to calculate Binomial probabilities using Technology</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-using-Technology.lesson>Solving problems on Binomial distribution with Technology</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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