document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841623>Question 841623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coin is weighted so that heads is twice as likely to appear as tails.<BR>\n" );
document.write( "a) What is the probability that one will get more than five heads if ten such coins are tossed?<BR>\n" );
document.write( "b)In a school, students are admitted through an interview scores are assumed to follow a normal distribution as X->N (45,100)<BR>\n" );
document.write( "I)find the probability that a randomly selected student will score between 40 and 60<BR>\n" );
document.write( "ii)If 100 students take the test and the school needs to take 40 students,what should the pass mark be?<BR>\n" );
document.write( "iii)explain the limitation of using these statistical limitations for admitting students.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507137 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=507137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A coin is weighted so that heads is twice as likely to appear as tails.<BR>\n" );
document.write( "P(heads) = 3/4 ; p(tails) = 1/3<BR>\n" );
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document.write( "a) What is the probability that one will get more than five heads if ten such coins are tossed?<BR>\n" );
document.write( "Ans: P(6<= x <=10) = 1 - binomcdf(10,3/4,5) = 0.9219<BR>\n" );
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document.write( "b)In a school, students are admitted through an interview scores are assumed to follow a normal distribution as X->N (45,100)<BR>\n" );
document.write( "I)find the probability that a randomly selected student will score between 40 and 60<BR>\n" );
document.write( "z(40) = (40-45)/100 = -5/100 = -1/20<BR>\n" );
document.write( "z(60) = (60-45)/100 = 15/100 = 3/20<BR>\n" );
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document.write( "P(40<= x <= 60) = P(-1/20<= z <=3/20) = normalcdf(-1/20,3/20) = 0.0796<BR>\n" );
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document.write( "ii)If 100 students take the test and the school needs to take 40 students,what should the pass mark be?<BR>\n" );
document.write( "z(60) = 3/20<BR>\n" );
document.write( "score = (3/20)*100+45 = 60<BR>\n" );
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document.write( "iii)explain the limitation of using these statistical limitations for admitting students.<BR>\n" );
document.write( "I'll leave that to you.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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