document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73096>Question 73096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show me specific detailed answers to these question i got wrong on my test. Thankyou.\r<BR>\n" );
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document.write( "1. a. On a multiple choice test there are 6 questions and each question has 5 possible choices. If someone randomly guesses the answer for each question, what is the probability of getting exactly 5 questions wrong? Assume the answer has exactly 1 correct answer, and that the answer to any question is independent of the answer to any other question. Express your final answer as a decimal number rounded to 5 decimal places.\r<BR>\n" );
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document.write( "B. What is the probability of getting strictly less than 3 questions wrong?\r<BR>\n" );
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document.write( "2. The suits in a deck of cards are: Clubs, Diamonds, Hearts and Spades.<BR>\n" );
document.write( "   The 13 ranks are (lowest to highest): 2 3 4 5 6 7 8 9 10 (J)ack, (Q)ueen, (K)ing, (A)ce. There are 4 suits and 13 ranks thus there are 4x13=52 possible combinations. <BR>\n" );
document.write( "Ace-clubs, 6-spades, J-hearts, king-hearts, 10-diamonds, 8-spades, Ace-spades, Queen-hearts, Ace-heearts, 7-spades, King-clubs, 3-Diamonds, 4-diamonds, 5-spades.<BR>\n" );
document.write( " If you selected 1 card at random from the above 14 cards calculate the probability of...\r<BR>\n" );
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document.write( "a. Getting a heart or a card with a rank of K or higher? (Round final answer 3 decimal places).\r<BR>\n" );
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document.write( "b. Getting a card which is not a spade or a card with a rank of A or higher?<BR>\n" );
document.write( "(Round final answer to 3 decimal places)\r<BR>\n" );
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document.write( "3. A charitable organization is selling raffle tickets for 5$. The first prize is a stereo system valued at 2,710. Second prize is an electric scooter valued at 970.00. The remaining prizes are 35 third prize gift certificates each valued at$40. Suppose 3500 tickets were sold, and you bought 1 ticket, what is the expected value of your net gain (or loss)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52381 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=52381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. a. On a multiple choice test there are 6 questions and each question has 5 possible choices. If someone randomly guesses the answer for each question, what is the probability of getting exactly 5 questions wrong? Assume the answer has exactly 1 correct answer, and that the answer to any question is independent of the answer to any other question. Express your final answer as a decimal number rounded to 5 decimal places.<BR>\n" );
document.write( "Binomial Problem<BR>\n" );
document.write( "p=1/5; q=4/5 ;n=6<BR>\n" );
document.write( "P(one answer correct) = 6C1(1/5)^1(4/5)^5 = 0.39<BR>\n" );
document.write( "If you have a TI-83 it is binompdf(6,1/5,1)<BR>\n" );
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document.write( "B. What is the probability of getting strictly less than 3 questions wrong?<BR>\n" );
document.write( "P(0<=X<=2) = binomcdf(6,1/5,2)=0.90 <BR>\n" );
document.write( "=6C0(1/5)^0(4/5)^6 +6C1(1/5)^1(4/5)5+6C2(1/5)^2(4/5)^4<BR>\n" );
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document.write( "2. The suits in a deck of cards are: Clubs, Diamonds, Hearts and Spades.<BR>\n" );
document.write( "   The 13 ranks are (lowest to highest): 2 3 4 5 6 7 8 9 10 (J)ack, (Q)ueen, (K)ing, (A)ce. There are 4 suits and 13 ranks thus there are 4x13=52 possible combinations. <BR>\n" );
document.write( "Ace-clubs, 6-spades, J-hearts, king-hearts, 10-diamonds, 8-spades, Ace-spades, Queen-hearts, Ace-heearts, 7-spades, King-clubs, 3-Diamonds, 4-diamonds, 5-spades.<BR>\n" );
document.write( " If you selected 1 card at random from the above 14 cards calculate the probability of...\r<BR>\n" );
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document.write( "a. Getting a heart or a card with a rank of K or higher? (Round final answer 3 decimal places).<BR>\n" );
document.write( "P(heart or K or Ace) = (4+2+3-2)/14 = 1/2<BR>\n" );
document.write( "There are 4 hearts; 2 kings; 3 Aces ; but 2 card that are both K/A and heart<BR>\n" );
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document.write( "b. Getting a card which is not a spade or a card with a rank of A or higher?<BR>\n" );
document.write( "(Round final answer to 3 decimal places)<BR>\n" );
document.write( " = 1-P(spade or Ace)<BR>\n" );
document.write( " = 1-(5+3-1)/14 = 1 - 1/2 = 1/2<BR>\n" );
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document.write( "3. A charitable organization is selling raffle tickets for 5$. The first prize is a stereo system valued at $2,710. Second prize is an electric scooter valued at $970.00. The remaining prizes are 35 third prize gift certificates each valued at $40. Suppose 3500 tickets were sold, and you bought 1 ticket, what is the expected value of your net gain (or loss)? <BR>\n" );
document.write( "E(gain) = (1/3500)(2710+970+35*40)-(3463/3500)(5)=1.45-4.95=-$3.50<BR>\n" );
document.write( "You can expect to lose $3.50<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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