QUESTION IMAGE
Question
1 find the area of the shaded region. the graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation the area of the shaded region is.1736 (round to four decimal places as needed)
Step1: Recall the property of standard normal distribution
The total area under the standard normal curve is \(1\). For a standard normal variable \(Z\), if we want to find \(P(Z < z)\), we can use the standard - normal table (z - table).
Step2: Look up the value in the z - table
For \(z=-0.94\), we look up the value in the standard - normal table. The standard - normal table gives the cumulative probability \(P(Z < z)\).
In the z - table, we first find the row corresponding to \(z=-0.9\) and the column corresponding to \(0.04\). The value in the table is \(0.1736\).
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\(0.1736\)