Questions: Find the z-score that has 12.1% of the distribution's area to its left. The z-score is . (Round to two decimal places as needed.)

Find the z-score that has 12.1% of the distribution's area to its left.

The z-score is  . (Round to two decimal places as needed.)
Transcript text: Find the $z$-score that has $12.1 \%$ of the distribution's area to its left. The $z$-score is $\square$ $\square$. (Round to two decimal places as needed.)
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Solution

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Solution Steps

Step 1: Given the area to the left $p = 0.121$
Step 2: Use the inverse standard normal distribution function to find $z$
Calculation: $z = \Phi^-1(0.121) = -1.17$

Final Answer: The $z$-score corresponding to a left area of 0.121 is -1.17.

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