document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205906>Question 1205906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random variable follows a binomial distribution with a probability of success equal to 0.57. For a sample size of n=12​, find the values below.<BR>\n" );
document.write( "a. the probability of exactly 3 successes<BR>\n" );
document.write( "b. the probability of 7 or more successes<BR>\n" );
document.write( "c. the probability of exactly 10 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 #842991 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</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=842991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Go to web-site https://stattrek.com/online-calculator/binomial.aspx\r<BR>\n" );
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document.write( "and use free of charge online calculator there, intended for common use.\r<BR>\n" );
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document.write( "This calculator has nice, simple and convenient interface, which serves for all listed options <BR>\n" );
document.write( "in your post, so even a beginner student can easily solve this assignment in parts &nbsp;a), &nbsp;b) &nbsp;and &nbsp;c).\r<BR>\n" );
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document.write( "Regarding part &nbsp;d), &nbsp;use the formula for binomial distribution\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;expected value = n*p = 12*0.57 = 6.84.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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