document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=323536>Question 323536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Approximately 53% of all the US population have at least some college education. Choose 10 people at random. Find the probabilities.<BR>\n" );
document.write( "A.Exactly 1/2 have some college education<BR>\n" );
document.write( "B.At least 1 has some college education<BR>\n" );
document.write( "C.Fewer than 5 have some college education<BR>\n" );
document.write( "D. What is the most likely number of people that have some college education?\r<BR>\n" );
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document.write( "For parts A and B I used the factorial equation: P(x)= n!/x!(n-x)! *p^x(1-p)^n-x\r<BR>\n" );
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document.write( "For A I got: .242<BR>\n" );
document.write( "For B I got: .006\r<BR>\n" );
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document.write( "Am I using the right equation to solve this problem?? I am really confused when it comes to part C and D. If you can let me know if I am using the right equation, and if my answers are correct, that would be great. Can you show me how to solve Part C and D? Thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231634 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=231634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Approximately 53% of all the US population have at least some college education. Choose 10 people at random. Find the probabilities.<BR>\n" );
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document.write( "Binomial problem with n=10 ; p = 0.53<BR>\n" );
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document.write( "A.Exactly 1/2 have some college education<BR>\n" );
document.write( "P(x=5) = 10C5*(0.53)^5(0.47)^5 = 0.2417<BR>\n" );
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document.write( "B.At least 1 has some college education<BR>\n" );
document.write( "P(x>=1) = 1 - P(x = 0) <BR>\n" );
document.write( "= 1 - 10C0(0.53)^0*0.47^10 <BR>\n" );
document.write( "= 1 - 0.47^10 <BR>\n" );
document.write( "= 0.9997<BR>\n" );
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document.write( "C.Fewer than 5 have some college education<BR>\n" );
document.write( "I used a TI-84 to get:<BR>\n" );
document.write( "P(0<= x <=4) = binomcdf(10,0,53,4) = 0.3057<BR>\n" );
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document.write( "D. What is the most likely number of people that have some college education?<BR>\n" );
document.write( "mean = E(x) = np = 10*0.53 = 5.3 people<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "For parts A and B I used the factorial equation: P(x)= n!/x!(n-x)! *p^x(1-p)^n-x <BR>\n" );
document.write( "For A I got: .242<BR>\n" );
document.write( "For B I got: .006 <BR>\n" );
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