Find the Probability Using the Z-Score P(z)>1

$P (z) > 1$

Step 1

Divide each term in $P z > 1$ by $z$ and simplify.

Divide each term in $P z > 1$ by $z$ .

$\frac{P z}{z} > \frac{1}{z}$

Simplify the left side.

Cancel the common factor of $z$ .

Cancel the common factor.

$\frac{P z}{z} > \frac{1}{z}$

Divide $P$ by $1$ .

$P > \frac{1}{z}$

Step 2

The area under the normal curve for $P (z) > 1$ , equals the probability of the z-score range ( $P > \frac{1}{z}$ ) occuring. In this problem, subtract the result from $1$ to find the probability of a z-score greater than $P (z) > 1$ .

$1 - 0.84135684$

Step 3

Subtract $0.84135684$ from $1$ .

$0.15864315$

Find the Probability Using the Z-Score P(z)>1

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