Question 878221
Population: m = 180, sd = 26
P(180 < x < 225)= P(z = 45/26) - P(z = 0)= P(z = 1.7308) - P(z = 0)= .9583 - .5 = .4583 0r 45.83%
As You can see below, the Probability P(180 < x < 225) is expressed as the area
under the standard normal curve between z = 0  and z = .4583
To graph one would shade that area.
{{{drawing(400,200,-5,5,-.5,1.5, graph(400,200,-5,5,-.5,1.5, 0,exp(-x^2/2)), blue(line( .4583,0, .4583,exp(-.4583^2/2))),locate(4.8,-.01,z),locate(4.8,.2,z),locate(.4,-.02,.4583))}}}

Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted along the Standard Normal Curve  
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and 50% to the right
{{{drawing(400,200,-5,5,-.5,1.5, graph(400,200,-5,5,-.5,1.5, exp(-x^2/2)), green(line(1,0,1,exp(-1^2/2)),line(-1,0,-1,exp(-1^2/2))),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))}}}