document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1072336>Question 1072336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. 1000 tickets are sold for a charity lottery at $5 each. 3 numbers are drawn out at random to receive 1st, 2nd, 3rd place prizes of $2000, $1000, and $500 respectively. (Like 124, 321, & 996). What is the mean (expectation) from such a drawing?<BR>\n" );
document.write( "2. A fair coin is flipped 6 times. What is is the probability of getting at least 2 heads? First figure out how many are in the sample space.<BR>\n" );
document.write( "3. In a club there are 6 men & 8 women. A committee of four is to be chosen.<BR>\n" );
document.write( "a.) how many possible committees are there? <BR>\n" );
document.write( "b.) how many possible committees are there which have 2 men & 2 women?<BR>\n" );
document.write( "4. A shipment of 100 DVD's has 5 which are defective. If you pick 2 at random (do not replace), what is the probability that they are all good (non defective)?<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 #687282 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=687282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. 1000 tickets are sold for a charity lottery at $5 each. 3 numbers are drawn out at random to receive 1st, 2nd, 3rd place prizes of $2000, $1000, and $500 respectively. (Like 124, 321, & 996). What is the mean (expectation) from such a drawing?<BR>\n" );
document.write( "Random \"winnings\":: 1995......995....495....-5<BR>\n" );
document.write( "Probability::::::::  1/1000...1/1000..1/100..997/1000<BR>\n" );
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document.write( "E(x) = [1995 + 995 + 495 - 5*997]/1000 = -$1.50<BR>\n" );
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document.write( "2. A fair coin is flipped 6 times. What is is the probability of getting at least 2 heads? First figure out how many are in the sample space.<BR>\n" );
document.write( "P(2<= x <=6) = 1 - binomcdf(6,0.5,1) = 0.8906<BR>\n" );
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document.write( "3. In a club there are 6 men & 8 women. A committee of four is to be chosen.<BR>\n" );
document.write( "a.) how many possible committees are there?:: 14C4 = 1001<BR>\n" );
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document.write( "b.) how many possible committees are there which have 2 men & 2 women?<BR>\n" );
document.write( "Ans: [6C2*8C2]/14C4 = [15*28]/1001 = 0.4196<BR>\n" );
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document.write( "4. A shipment of 100 DVD's has 5 which are defective. If you pick 2 at random (do not replace), what is the probability that they are all good (non defective)?<BR>\n" );
document.write( "And: 95C2/100C2 = 0.9020<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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