Area Under Standard Normal Curve.

1.	Area Under Standard Normal Curve.
Answer» Total area of the region bounded between standard normal and X-axis is = Total Probability 1. Standard normal curve is symmetric about Z = 0. Hence, the area of the standard normal curve on both sides of vertical line Z = 0 is equal to 0.5. P [0 ≤ Z ≤ a] = Area of standard normal curve bounded by X-axis and vertical lines Z = 0 and Z = a. Use the ready-made tables of area under the standard normal curve. These tables show the area or probability of standard normal variable Z for the value between P [μ ≤ X ≤ a] = P [0 ≤ z ≤ z1] = Area under the standard normal curve bounded by X-axls and vertical lines Z = 0 and Z = z1.

Answer»

Total area of the region bounded between standard normal and X-axis is = Total Probability 1.
Standard normal curve is symmetric about Z = 0. Hence, the area of the standard normal curve on both sides of vertical line Z = 0 is equal to 0.5.
P [0 ≤ Z ≤ a] = Area of standard normal curve bounded by X-axis and vertical lines Z = 0 and Z = a.

Use the ready-made tables of area under the standard normal curve. These tables show the area or probability of standard normal variable Z for the value between
P [μ ≤ X ≤ a] = P [0 ≤ z ≤ z1] = Area under the standard normal curve bounded by X-axls and vertical lines Z = 0 and Z = z1.

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