document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=921764>Question 921764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain state, 35% of all community college students belong to ethnic minorities. Find the probabilities that the following results in a random sample of 10 of the college community students. \r<BR>\n" );
document.write( "\n" );
document.write( "a. Exactly 2 belong to an ethnic minority.\r<BR>\n" );
document.write( "\n" );
document.write( "b. Three or fewer belong to an ethinc minority.\r<BR>\n" );
document.write( "\n" );
document.write( "c. Exactly 5 do not belong to an ethnic minority.\r<BR>\n" );
document.write( "\n" );
document.write( "d. Six or more do not belong to an ethnic minority. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559204 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=559204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a certain state, 35% of all community college students belong to ethnic minorities. Find the probabilities that the following results in a random sample of 10 of the college community students.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Binomial Problem with n = 10 and p(minority) = 0.35<BR>\n" );
document.write( "------<BR>\n" );
document.write( " a. Exactly 2 belong to an ethnic minority.<BR>\n" );
document.write( "P(x = 2) = 10C2(0.35)^2(0.65)^8 = binompdf(10,0.35,2) = 0.1757<BR>\n" );
document.write( "------------------------------------- <BR>\n" );
document.write( "b. Three or fewer belong to an ethinc minority.<BR>\n" );
document.write( "P(0<= x <=3) = normalcdf(10,0.35,3) = 0.5138<BR>\n" );
document.write( "----------------------------------- <BR>\n" );
document.write( "c. Exactly 5 do not belong to an ethnic minority.<BR>\n" );
document.write( "P(x = 5) = 10C5(0.65)^5*0.35^5 = binompdf(10,0.65,5) = 0.1536<BR>\n" );
document.write( "----------------------------------- <BR>\n" );
document.write( "d. Six or more do not belong to an ethnic minority.<BR>\n" );
document.write( "P(6<= x <=10) = 1 - P(0<= x <=5) = 1-binomcdf(10,0.65,5) = 0.7515<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );