Find and Interpret the Area under a Normal Curve
-Use the standard normal distribution to find $\mathrm { P } ( \mathrm { z } < - 2.33$ or $\mathrm { z } > 2.33 )$ .

Question

Find and Interpret the Area under a Normal Curve
-Use the standard normal distribution to find $\mathrm { P } ( \mathrm { z } < - 2.33$ or $\mathrm { z } > 2.33 )$.
A) $0.0198$
B) $0.9809$
C) $0.7888$
D) $0.0606$

Quizplus · Accepted Answer

The area under the standard normal curve for $z < -2.33$ and $z > 2.33$ represents the tails beyond $z = \pm2.33$. Using standard normal distribution tables or a calculator, the area in each tail is approximately $0.0099$. Adding both tails gives $0.0099 + 0.0099 = 0.0198$, indicating a very small proportion of the distribution lies beyond these points.

Find and Interpret the Area Under a Normal Curve -Use P(z<−2.33\mathrm { P } ( \mathrm { z } < - 2.33P(z<−2.33

Find and Interpret the Area Under a Normal Curve
-Use $\mathrm { P } ( \mathrm { z } < - 2.33$