Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the area of the shaded region under the standard normal distributi…

Question

find the area of the shaded region under the standard normal distribution to the left of the given z - score.
round your answer to four decimal places.
$p(z < 0.04)=$
question help: message instructor
submit question

Explanation:

Step1: Use the standard normal distribution table

The standard normal distribution table (z - table) gives the cumulative probability \(P(Z < z)\) for a given \(z\) - score. For \(z = 0.04\), we look up the value in the z - table.
In the z - table, we first find the row corresponding to \(z=0.0\) and then the column corresponding to \(0.04\).

Step2: Read the value from the table

Looking at the standard normal distribution table, the value at the intersection of the row \(z = 0.0\) and column \(z=0.04\) is \(0.5160\).

Answer:

\(0.5160\)