Questions: Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The indicated z score is □ (Round to two decimal places as needed.)

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The indicated z score is □ (Round to two decimal places as needed.)
Transcript text: Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The indicated $z$ score is $\square$ (Round to two decimal places as needed.)
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem requires finding the z-score for a given area under the standard normal distribution curve. The area to the left of the z-score is 0.7734.

Step 2: Use the Standard Normal Distribution Table

To find the z-score corresponding to an area of 0.7734, we need to look up this value in the standard normal distribution table (z-table). The z-table provides the area to the left of a given z-score.

Step 3: Locate the Area in the Z-Table

Search the z-table for the closest value to 0.7734. The closest value is 0.7734 itself, which corresponds to a z-score of approximately 0.75.

Final Answer

The indicated z-score is 0.75.

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