Problem

If the area to the right of $x$ in a normal distribution is 0.525 , what is the area to the left of $x$ ?
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So, the final answer is: The area to the left of $x$ in the normal distribution is \(\boxed{0.475}\).

Steps

Step 1 :Given that the area to the right of $x$ in a normal distribution is 0.525, we know that the total area under the curve of a normal distribution sums up to 1.

Step 2 :Therefore, to find the area to the left of $x$, we subtract the area to the right of $x$ from 1. That is, \(1 - 0.525\).

Step 3 :After performing the subtraction, we find that the area to the left of $x$ is \(0.475\).

Step 4 :So, the final answer is: The area to the left of $x$ in the normal distribution is \(\boxed{0.475}\).

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