Question

find the area under the shaded region. the graph depicts the standard normal distribution with mean 0 and standard deviation 1.

Explanation:

Step1: Use the property of the standard normal distribution

The total area under the standard normal curve is 1. The curve is symmetric about \(z = 0\).

Step2: Look up the value in the standard - normal table

We want to find \(P(Z<-0.59)\). Using the standard - normal table (or \(z\)-table), for a \(z\)-score of \(-0.59\), we look up the value in the table. The value corresponding to \(z=-0.59\) is \(0.2776\). So the area of the shaded region (which is \(P(Z < - 0.59)\)) is \(0.2776\).

Answer:

0.2776