Question

find the area of the shaded region under the standard normal curve. if convenient, use technology to find the area. the area of the shaded region is (round to four decimal places as needed.)

Explanation:

Step1: Recall the properties of standard normal curve

The standard - normal curve has a mean of 0 and a standard deviation of 1. The total area under the curve is 1. We want to find the area between $z=- 0.08$ and $z = 0$.

Step2: Use the standard - normal table

The standard - normal table (z - table) gives the area to the left of a given z - value. The area to the left of $z = 0$ is $0.5$ and the area to the left of $z=-0.08$ can be found from the z - table. Looking up $z=-0.08$ in the z - table, we get an area of $0.4681$.

Step3: Calculate the shaded area

The area of the shaded region is the area to the left of $z = 0$ minus the area to the left of $z=-0.08$. So, $A=0.5 - 0.4681=0.0319$.

Answer:

$0.0319$