document.write( "Question 1192580:
\n" ); document.write( "x P(x)
\n" ); document.write( "
\n" ); document.write( "0 0.2
\n" ); document.write( "1 0.1
\n" ); document.write( "2 0.3
\n" ); document.write( "3 0.4\r
\n" ); document.write( "\n" ); document.write( "Find the expected value of the probability distribution. Round to two decimal places. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find the standard deviation of the probability distribution. Round to two decimal places.
\n" ); document.write( "

Algebra.Com's Answer #824503 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
add x*p(x) for each
\n" ); document.write( "0+0.1+0.6+1.2=1.90 expected value.
\n" ); document.write( "-
\n" ); document.write( "variance is squared dev. * prob. =(-1.9)^2*0.2+(-0.9)^2*0.1+(0.1)^2*0.3+1.1^2*0.4
\n" ); document.write( "=0.722+0.081+0.003+0.484
\n" ); document.write( "=1.29
\n" ); document.write( "sd=sqrt(V)=sqrt (1.29)=1.14
\n" ); document.write( "
\n" );