Questions: Find the indicated area under the standard normal curve. To the left of z=0.59 The area to the left of z=0.59 under the standard normal curve is . (Round to four decimal places as needed.)

Find the indicated area under the standard normal curve.
To the left of z=0.59

The area to the left of z=0.59 under the standard normal curve is .
(Round to four decimal places as needed.)

Transcript text: Find the indicated area under the standard normal curve. To the left of $z=0.59$ The area to the left of $z=0.59$ under the standard normal curve is $\square$ . (Round to four decimal places as needed.)

Solution

Solution Steps

Step 1: Understand the Problem

We need to find the area under the standard normal curve to the left of $ z = 0.59 $. This area represents the cumulative probability for a standard normal distribution up to $ z = 0.59 $.

Step 2: Use the Standard Normal Distribution Table

The standard normal distribution table, or Z-table, provides the cumulative probability for a given $ z $-score. We will look up the value for $ z = 0.59 $.

Step 3: Look Up the Z-Score

Using the Z-table, find the cumulative probability for $ z = 0.59 $. The table shows that the area to the left of $ z = 0.59 $ is approximately 0.7224.