document.write( "Question 435144: Please help me with these probability questions. The help I received early was not correct.\r
\n" ); document.write( "\n" ); document.write( "A test consists of 10 true-or-false questions. An answer is randomly chosen for each question.
\n" ); document.write( "7. (1 point) What is the probability of answering exactly 4 questions correctly? Answer in fraction.
\n" ); document.write( "8. (1 point) What is the probability of answering at least 2 questions correctly? Answer in fraction.
\n" ); document.write( "

Algebra.Com's Answer #301287 by stanbon(75887)\"\" \"About 
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( "
\n" );