Question

find the area of the shaded region. the graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. the area of the shaded region is (round to four decimal places as needed.)

Explanation:

Step1: Use the standard normal distribution table

The standard normal distribution table (z - table) gives the cumulative probability \(P(Z < z)\) for a given \(z\)-score. For \(z=- 1.16\), we look up the value in the z - table.

Step2: Find the value in the z - table

In the z - table, we first look at the row for \(z=-1.1\) and then the column for \(0.06\). The intersection of the row \(z = - 1.1\) and column \(0.06\) gives the value.
The value from the standard normal table for \(z=-1.16\) is \(0.1230\)

Answer:

\(0.1230\)