document.write( "Question 507486: if x is N(0,4) Find P(1<=x<=2) and P(1<=x<=2 | x>=1) \n" ); document.write( "
Algebra.Com's Answer #340480 by stanbon(75887) ![]() You can put this solution on YOUR website! if x is N(0,4) \n" ); document.write( "Find P(1<=x<=2) \n" ); document.write( "--- \n" ); document.write( "z(1) = (1-0)/4 = 1/4 \n" ); document.write( "z(2) = (2-0)/4 = 1/2 \n" ); document.write( "--- \n" ); document.write( "P(1<= x <=2) = P(1/4 < z < 1/2) = 0.0928 \n" ); document.write( "------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and P(1<=x<=2 | x>=1) \n" ); document.write( "= P(1<=x<=2 AND x>=1)/P(x>=1) \n" ); document.write( "= P(1<= x <=2)/P(x>= 1) \n" ); document.write( "--- \n" ); document.write( "P(x>=1) = P(z >= 1/4) = 0.4013 \n" ); document.write( "--- \n" ); document.write( "Ans: 0.0928/0.4013 = 0.2313 \n" ); document.write( "=========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==========\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |