document.write( "Question 435144: Please help me with these probability questions. The help I received early was not correct.\r
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document.write( "A test consists of 10 true-or-false questions. An answer is randomly chosen for each question.
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document.write( "7. (1 point) What is the probability of answering exactly 4 questions correctly? Answer in fraction.
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document.write( "8. (1 point) What is the probability of answering at least 2 questions correctly? Answer in fraction. \n" );
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Algebra.Com's Answer #301287 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A test consists of 10 true-or-false questions. An answer is randomly chosen for each question. \n" ); document.write( "---- \n" ); document.write( "Binomial Problem with n = 10 and p = 1/2 \n" ); document.write( "---------------------------------------------- \n" ); document.write( "7. (1 point) What is the probability of answering exactly 4 questions correctly? Answer in fraction. \n" ); document.write( "--- \n" ); document.write( "P(x = 4) = 10C4*(1/2)^4*(1/2)^6 = 210/1024 \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "8. (1 point) What is the probability of answering at least 2 questions correctly? Answer in fraction. \n" ); document.write( "---- \n" ); document.write( "P(x>= 2) = 1- P(0<= x <=1) \n" ); document.write( "= 1 - [P(x=0) + P(x=1)] \n" ); document.write( "--- \n" ); document.write( "= 1- [10C0(1/2)^10 + 10C1(1/2)^10] \n" ); document.write( "--- \n" ); document.write( "= 1 -[(1+10)/1024] \n" ); document.write( "--- \n" ); document.write( "= 1013/1024 \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================= \n" ); document.write( " \n" ); document.write( " |