document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100850>Question 1100850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that a procedure yields a binomial distribution with a trial repeated <BR>\n" );
document.write( "n<BR>\n" );
document.write( "=<BR>\n" );
document.write( "5<BR>\n" );
document.write( "n=5 times. Use either the binomial probability formula (or technology) to find the probability of <BR>\n" );
document.write( "k<BR>\n" );
document.write( "=<BR>\n" );
document.write( "4<BR>\n" );
document.write( "k=4 successes given the probability <BR>\n" );
document.write( "p<BR>\n" );
document.write( "=<BR>\n" );
document.write( "0.76<BR>\n" );
document.write( "p=0.76 of success on a single trial.\r<BR>\n" );
document.write( "\n" );
document.write( "(Report answer accurate to 4 decimal places.)\r<BR>\n" );
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document.write( " P<BR>\n" );
document.write( "(<BR>\n" );
document.write( "X<BR>\n" );
document.write( "=<BR>\n" );
document.write( "k<BR>\n" );
document.write( ")<BR>\n" );
document.write( "=<BR>\n" );
document.write( "P(X=k)=  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715399 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715399\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The number of ways of having 4 of the 5 trials successful is \"5 choose 4\" = 5.<br><BR>\n" );
document.write( "The probability of any one of those ways is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.76%5E4%29%28%281-0.76%29%5E1%29 ALIGN=MIDDLE  ALT=\"%280.76%5E4%29%28%281-0.76%29%5E1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Then the probability of 4 successes in 5 tries is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%280.76%5E4%29%281-0.76%5E1%29+=+.4003 ALIGN=MIDDLE  ALT=\"5%2A%280.76%5E4%29%281-0.76%5E1%29+=+.4003\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );