document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203846>Question 1203846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.\r<BR>\n" );
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document.write( "P(X<5), n=7, p=0.3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839715 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'll show various methods to compute the answer using a TI84/TI83 calculator and spreadsheet.\r<BR>\n" );
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document.write( "There are many online calculators that will do the same such as this one here<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.gigacalculator.com/calculators/binomial-probability-calculator.php\">https://www.gigacalculator.com/calculators/binomial-probability-calculator.php</a><BR>\n" );
document.write( "and this one as well<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.omnicalculator.com/statistics/binomial-distribution\">https://www.omnicalculator.com/statistics/binomial-distribution</a>\r<BR>\n" );
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document.write( "TI83 or TI84\r<BR>\n" );
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document.write( "Press the button labeled \"2ND\"<BR>\n" );
document.write( "Press the \"VARS\" key<BR>\n" );
document.write( "Scroll down quite a bit until reaching \"binomCDF\"\r<BR>\n" );
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document.write( "The template is<BR>\n" );
document.write( "binomCDF(n,p,x)<BR>\n" );
document.write( "n = sample size<BR>\n" );
document.write( "p = probability of success<BR>\n" );
document.write( "x = number of successes\r<BR>\n" );
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document.write( "In this case:<BR>\n" );
document.write( "n = 7<BR>\n" );
document.write( "p = 0.3<BR>\n" );
document.write( "x = 4\r<BR>\n" );
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document.write( "So you'll type in:<BR>\n" );
document.write( "<font color=red>binomCDF(7,0.3,4)</font>\r<BR>\n" );
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document.write( "The result of this calculation is approximately <font color=red>0.9712</font><BR>\n" );
document.write( "There's about a 97.12% chance of having less than 5 successes.\r<BR>\n" );
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document.write( "Review this page for more info and further examples<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.statology.org/binomial-probabilities-ti-84-calculator/\">https://www.statology.org/binomial-probabilities-ti-84-calculator/</a>\r<BR>\n" );
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document.write( "On a spreadsheet, we'll use the command <font color=red>binomDist</font>\r<BR>\n" );
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document.write( "The input we'll do is <font color=red>=binomDist(4,7,0.3,1)</font><BR>\n" );
document.write( "The equal sign needs to be put up front to apply the calculation. <BR>\n" );
document.write( "Otherwise, the spreadsheet will treat it as plaintext.\r<BR>\n" );
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document.write( "The general template is<BR>\n" );
document.write( "<font color=red>=binomDist(x,n,p,c)</font><BR>\n" );
document.write( "where x,n,p were mentioned earlier. It's unfortunate the order isn't the exact same as the TI84. So be careful if you tend to use both TI84 and spreadsheets.\r<BR>\n" );
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document.write( "The c refers to \"cumulative\"<BR>\n" );
document.write( "c = 0 = not cumulative, i.e. use a binomial PDF<BR>\n" );
document.write( "c = 1 = cumulative, i.e. use a binomial CDF\r<BR>\n" );
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document.write( "The result of the spreadsheet calculation should agree with the TI84.\r<BR>\n" );
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document.write( "Answer: <font color=red>0.9712</font><BR>\n" );
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