A random variable x is normally distributed with a mean of 250 and a standard deviation of 50. Given that x = 175, its corresponding z-score is -1.50.

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, $z = \frac{175 - 250}{50} = -1.5$.

A Random Variable X Is Normally Distributed with a Mean