Algebra Examples

$p (z) < 0.97$

Step 1

Divide each term in $p z < 0.97$ by $z$ and simplify.

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Step 1.1

Divide each term in $p z < 0.97$ by $z$ .

$\frac{p z}{z} < \frac{0.97}{z}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $z$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{p z}{z} < \frac{0.97}{z}$

Step 1.2.1.2

Divide $p$ by $1$ .

$p < \frac{0.97}{z}$

Step 2

The area under the normal curve for $p (z) < 0.97$ , equals the probability of the z-score range ( $p < \frac{0.97}{z}$ ) occurring.

$0.83398921$