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 standard normal table.
In the z - table, we first find the row corresponding to \(z = - 1.1\) and the column corresponding to \(0.06\).
The value in the table for \(z=-1.16\) is \(0.1230\).

Answer:

\(0.8770\)