find the area of the shaded region under the standard normal curve. if convenient, use technology to find…

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.)

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.)

Answer

Answer:

0.4909

Explanation:

Step1: Recall standard - normal table property

The standard normal distribution is symmetric about (z = 0). The total area under the standard - normal curve is 1.

Step2: Look up value in the z - table

We want to find the area between (z=-2.36) and (z = 0). Looking up the value of (\Phi(-2.36)) in the standard - normal (z -) table, we know that (\Phi(-2.36)) gives the area to the left of (z=-2.36). The area to the left of (z = 0) is 0.5. The area between (z=-2.36) and (z = 0) is (A=\Phi(0)-\Phi(-2.36)). Since (\Phi(0) = 0.5) and from the z - table (\Phi(-2.36)=0.0091), then (A = 0.5-0.0091=0.4909).