Find and Interpret the Area under a Normal Curve
-Use the standard normal distribution to find $\mathrm { P } ( - 2.50

Question

Find and Interpret the Area under a Normal Curve
-Use the standard normal distribution to find $\mathrm { P } ( - 2.50 < \mathrm { z } < 1.50 )$.
A) $0.9270$
B) $0.8822$
C) $0.6167$
D) $0.5496$

Quizplus · Accepted Answer

The area under the standard normal curve between $z = -2.50$ and $z = 1.50$ represents the probability of a value falling within that range. Using standard normal distribution tables or a calculator, the cumulative probability for $z = 1.50$ is approximately $0.9332$, and for $z = -2.50$, it is approximately $0.0062$. Subtracting these values ($0.9332 - 0.0062$) gives us $0.9270$, which is the probability of a value falling between $z = -2.50$ and $z = 1.50$.

Find and Interpret the Area Under a Normal Curve -Use P(−2.50<z<1.50)\mathrm { P } ( - 2.50 < \mathrm { z } < 1.50 )P(−2.50<z<1.50)

Find and Interpret the Area Under a Normal Curve
-Use $\mathrm { P } ( - 2.50 < \mathrm { z } < 1.50 )$