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. z = - 1.04 the area of the shaded region is (round to four decimal places as needed.)

Explanation:

Step1: Use z - table lookup

We need to find the area to the right of \(z=- 1.04\) in a standard - normal distribution. The total area under the standard - normal curve is 1. The area to the left of \(z = - 1.04\) can be found using the standard normal (z) table.

Step2: Look up the value in the z - table

Looking up \(z=-1.04\) in the standard normal table, the area to the left of \(z = - 1.04\) is \(0.1492\).

Step3: Calculate the area to the right

The area to the right of \(z=-1.04\) is \(A = 1 - 0.1492\).
\[A=0.8508\]

Answer:

\(0.8508\)