document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309465>Question 309465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.<BR>\n" );
document.write( "a. compute the standard error of the proportion.<BR>\n" );
document.write( "b. what is the probability that the sample contains at least 12 business majors?<BR>\n" );
document.write( "c. what is the probability that the sample contains less than 15 business majors?<BR>\n" );
document.write( "d. what is the probability that the sample contains between 12 and 14 business majors? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221329 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=221329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded.<BR>\n" );
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document.write( "a. compute the standard error of the proportion.<BR>\n" );
document.write( "Ans: sqrt[pq/n] = sqrt[0.2*0.8/100]<BR>\n" );
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document.write( "b. what is the probability that the sample contains at least 12 business majors?<BR>\n" );
document.write( "Ans: Binomial Problem with n = 100 ; p = 0.2 ; 12<= x <=100<BR>\n" );
document.write( "Ans: 1-binomcdf(100,0.2,11) = 0.9874<BR>\n" );
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document.write( "c. what is the probability that the sample contains less than 15 business majors?<BR>\n" );
document.write( "Ans: binomcdf(100,0.2,14) = 0.0804<BR>\n" );
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document.write( "d. what is the probability that the sample contains between 12 and 14 business majors?<BR>\n" );
document.write( "Ans: binomcdf(100,0.2,14)-binomcdf(100,0.2,11) = 0.0679<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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