A random variable X is normally distributed with a mean of 175 and a standard deviation of 50.Given that X = 150,its corresponding Z- score is -0.50.

Question

Quizplus · Accepted Answer

The Z-score is calculated as $Z = \frac{X - \mu}{\sigma}$, where $X$ is the value in question, $\mu$ is the mean, and $\sigma$ is the standard deviation. Substituting the given values, $Z = \frac{150 - 175}{50} = -0.5$.

A Random Variable X Is Normally Distributed with a Mean