Z is a standard normal random variable The P120 Z 150 equals

Z is a standard normal random variable. The P(-1.20 Z 1.50) equals

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 < -1.2) = (-1.2-0)/1
= -1.2/1 = -1.2
= P ( Z <-1.2) From Standard Normal Table
= 0.11507
P(X < 1.5) = (1.5-0)/1
= 1.5/1 = 1.5
= P ( Z <1.5) From Standard Normal Table
= 0.93319
P(-1.2 < X < 1.5) = 0.93319-0.11507 = 0.8181