document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345069>Question 345069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> from past experience, the pass rate of students has been 70%. if 8 students are randomly selected.<BR>\n" );
document.write( "a) what is the probability at least half will fail?<BR>\n" );
document.write( "b) what is the standard deviation of the distribution?<BR>\n" );
document.write( "c)what is the probability that no student will fail?<BR>\n" );
document.write( "d0 state the name given to the probability distribution being described in the question and state one of its characteristics? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247078 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=247078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> from past experience, the pass rate of students has been 70%. if 8 students are randomly selected.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Binomial Problem with n = 8 and p = 0.7<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "a) what is the probability at least half will fail?<BR>\n" );
document.write( "P(4<= x <=8) = 1-binomcdf(8,0.7,3) = 0.9420<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "b) what is the standard deviation of the distribution?<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(8*0.7*0.3) = 1.2961<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "c)what is the probability that no student will fail?<BR>\n" );
document.write( "P(x = 0) = 0.7^8 = 0.0576<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "d) state the name given to the probability distribution being described in the question and state one of its characteristics?<BR>\n" );
document.write( "binomial; n independent trials.<BR>\n" );
document.write( "===========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );