document.write( "Question 1103157: The amount of time required to assemble a component on a factory assembly line is normally distributed with a mean of 3.1 minutes and a standard deviation of 0.7 minute. Find the probability that a randomly selected employee will take the given amount of time to assemble the component. (Round your answers to four decimal places.)\r
\n" );
document.write( "\n" );
document.write( "(a) more than 3.8 minutes\r
\n" );
document.write( "\n" );
document.write( "(b) between 2.0 and 2.6 minutes
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #717869 by Boreal(15235) You can put this solution on YOUR website! z=(x-mean)/sd \n" ); document.write( "a. (3.8-3.1)/0.7=1 \n" ); document.write( "P(z>1)=0.1587 \n" ); document.write( "b.(2-3.1)/0.7=-1.1/0.7=-1.57 \n" ); document.write( "(2.6-3.1)/0.7=-0.5/0.7=-0.71 \n" ); document.write( "P(z between -0.71 and -1.57)=0.1806 (corrected) \n" ); document.write( " |