Question 1197776
{{{drawing(400,200,-5,5,-.5,1.5, graph(400,200,-5,5,-.5,1.5, exp(-x^2/2)), green(line(.085,0,.085,exp(-.085^2/2)),line(-.085,0,-.085,exp(-.085^2/2))),green(line(2,0,2,exp(-2^2/2)),line(-2,0,-2,exp(-2^2/2))),green(line(3,0,3,exp(-3^2/2)),line(-3,0,-3,exp(-3^2/2))),green(line( 0,0, 0,exp(0^2/2))),locate(4.8,-.01,z),locate(4.8,.2,z))}}}
wanting the area on either side of z = 0 to be .17/2 = .085
 .085 + .5(area to the left of z = 0)
 k = Invnorm(.585) = .21
P(−21 < z < .21) = 0.17