Interpret the Area under the Standard Normal Curve as a Probability
-Use the standard normal distribution to find $\mathrm { P } ( - 2.25

Question

Interpret the Area under the Standard Normal Curve as a Probability
-Use the standard normal distribution to find $\mathrm { P } ( - 2.25 < Z < 0 )$.
A) $0.4878$
B) $0.5122$
C) $0.6831$
D) $0.0122$

Quizplus · Accepted Answer

The area under the standard normal curve between any two points corresponds to the probability that a value will fall within that range. For $P(-2.25 < Z < 0)$, we look up the z-score of -2.25 in the standard normal distribution table or use a calculator, which gives us approximately 0.4878. This means there's a 48.78% chance that a randomly selected value from the distribution will fall between -2.25 and 0 standard deviations from the mean.

Interpret the Area Under the Standard Normal Curve as a Probability