Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the area under the standard normal distribution curve to the right…

Question

find the area under the standard normal distribution curve to the right of ( z = 0.40 ). use the standard normal distribution table and enter the answer to 4 decimal places. the area to the right of the ( z ) value is

Explanation:

Step1: Find the cumulative area for \(z = 0.40\)

From the standard normal distribution table, for \(z=0.40\), the cumulative area (area to the left of \(z = 0.40\)) is \(0.6554\).

Step2: Calculate the area to the right

The total area under the standard - normal curve is \(1\). The area to the right of \(z\) is \(A=1-\text{cumulative area for }z\). So, \(A = 1 - 0.6554=0.3446\).

Answer:

0.3446