Recap on Z value calculations. Normal Distribution Recap on Z value calculations.
P (0 < Z < 1.5)
Subtracting
P( 1 < Z < 1.5)
P( 1 < Z < 1.5) Use table to get the value of P( 0 < z < 1.5)
P( 1 < Z < 1.5) Use Table to get the value of P( 0 < Z < 1)
P( 1 < Z < 1.5) Take away your answers to leave P(1 < Z < 1.5)
Subtracting
P ( Z > 1.5)
P ( Z > 1.5)
P ( Z > 1.5) Use table to look up value of P ( 0 < Z < 1.5)
P ( Z > 1.5) Take that value away from 0.5
Adding
P ( Z < 1.5)
P ( Z < 1.5) This area is 0.5
P ( Z < 1.5) Look up the value of P ( 0 < Z < 1.5)
P ( Z < 1.5) Add 0.5 and your answer for P ( 0 < Z < 1.5)
Adding
P ( -0.5 < Z < 1.5)
P ( -0.5 < Z < 1.5) Look up the value of P ( 0 < Z < 0.5) which is the same as P ( -0.5 < Z < 0) due to symmetry
P ( -0.5 < Z < 1.5) Look up the value of P ( 0 < Z < 1.5)
P ( -0.5 < Z < 1.5) Add your two answers together.
You must draw a diagram to help you identify the values you need from the table. Sketch a normal curve. Shade in the part you are asked to calculate. Think whether you need to add or subtract.