Find the indicated area under the standard normal curve Betw

Find the indicated area under the standard normal curve. Between z = 0.12 and z =0.12

Solution

Normal Distribution
Mean ( u ) =0
Standard Deviation ( sd )=1
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
To find P(a < = Z < = b) = F(b) - F(a)
P(X < -0.12) = (-0.12-0)/1
= -0.12/1 = -0.12
= P ( Z <-0.12) From Standard Normal Table
= 0.45224
P(X < 0.12) = (0.12-0)/1
= 0.12/1 = 0.12
= P ( Z <0.12) From Standard Normal Table
= 0.54776
P(-0.12 < X < 0.12) = 0.54776-0.45224 = 0.0955