Calculating Probabilities for the Normal Distribution

Using the (Standard) Normal Table:

The Normal Table records cumulative probabilities P(Z ≤ z).

Helpful reminders:

• The normal distribution is symmetric around 0.
• P(Z ≤ -z) = P(Z ≥ z)
• The total area under the curve = 1.

a. Suppose Z ~ N(0, 1).

(i) P(Z ≤ 2.32)