document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018880>Question 1018880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A binomial distribution is based on n = 15 trials and success probability p = 0 4. . What is the<BR>\n" );
document.write( "probability that the binomial random variable equals its mean value? </SPAN>\n" );
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document.write( "Question:<BR>\n" );
document.write( "A binomial distribution is based on n = 15 trials and success probability p = 0 4. . What is the<BR>\n" );
document.write( "probability that the binomial random variable equals its mean value?<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "For the given binomial distribution with n=15, p=0.4, mean=&mu;=np=6.<BR>\n" );
document.write( "P(k=6;15;0.4)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2815%2C6%29%2A0.4%5E6%2A%281-0.4%29%5E%2815-6%29 ALIGN=MIDDLE  ALT=\"C%2815%2C6%29%2A0.4%5E6%2A%281-0.4%29%5E%2815-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5005%2A0.004096%2A0.010078 ALIGN=MIDDLE  ALT=\"5005%2A0.004096%2A0.010078\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=0.2066<BR>\n" );
document.write( " <BR>\n" );
document.write( "Observation:<BR>\n" );
document.write( "P(k=7)=0.1771 < P(k=6)<BR>\n" );
document.write( "P(k=5)=0.1859 < P(k=6)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );