document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091257>Question 1091257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> you are told that there is an 80% chance that a prospective employer will check the educational background of a job applicant. 75 job applications are randomly selected.\r<BR>\n" );
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document.write( "A. find the probability that at least 50 of the applicants have their educational backgrounds checked\r<BR>\n" );
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document.write( "B. find the probability that exactly 50 of the applicants have their educational backgrounds checked </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #705650 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=705650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> at least 50 would be 50 upward<BR>\n" );
document.write( "the mean is np=75*0.80=60<BR>\n" );
document.write( "the variance is np(1-p)=60*0.2=12<BR>\n" );
document.write( "the sd is sqrt (12)=3.464<BR>\n" );
document.write( "use continuity correction factor of 49.5<BR>\n" );
document.write( "(49.5-60)/3.464=-3.03<BR>\n" );
document.write( "This is the probability z >=-3.03, which is 0.9976<BR>\n" );
document.write( "Exactly 50 is 75C50(0.8)^50*0.2^25=0.0025 </SPAN>\n" );
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