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 66 . (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 66 . (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 66 . (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 right of the z-score is 0.2546.

Step 2: Identify the Area to the Left

Since the total area under the standard normal distribution curve is 1, the area to the left of the z-score is: \[ 1 - 0.2546 = 0.7454 \]

Step 3: Use the Z-Table

Using the z-table, find the z-score that corresponds to an area of 0.7454 to the left of the z-score. The z-score that corresponds to an area of 0.7454 is approximately 0.66.

Final Answer

The indicated z-score is 0.66.

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