document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081098>Question 1081098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random variable follows a binomial distribution with a probability of success equal to 0.65. For a sample size of n = 7, find<BR>\n" );
document.write( "a. the probability of exactly 3 successes<BR>\n" );
document.write( "b. the probability of 4 or more successes<BR>\n" );
document.write( "c. the probability of exactly 7 successes<BR>\n" );
document.write( "d. the expected value of the random variable </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695188 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=695188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.  7C3*.65^3*.35^4=35*.275*.015=0.1442<BR>\n" );
document.write( "b. 7C4*65^4*.35^3=0.2679<BR>\n" );
document.write( "7C5*.65^5*.35^2=0.2985<BR>\n" );
document.write( "7C6*.65^6*.35=0.1848<BR>\n" );
document.write( ".65^7=0.0490<BR>\n" );
document.write( "Total is 0.8002<BR>\n" );
document.write( "c.is 0.0490<BR>\n" );
document.write( "d. E(X)=7*0.65=4.55 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );