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 z - table lookup

We need to find the area to the right of $z=- 1.17$ in a standard - normal distribution. The total area under the standard - normal curve is 1. The z - table gives the area to the left of a given z - value.

Step2: Find left - hand area

Looking up $z =-1.17$ in the standard normal (z) table, the area to the left of $z=-1.17$ is $0.1210$.

Step3: Calculate right - hand area

The area to the right of $z=-1.17$ is $A = 1-0.1210=0.8790$.

Answer:

$0.8790$