A random variable X has a normal distribution with a mean of 250 and a standard deviation of 50.Given that X = 175,its corresponding value of Z is −1.50.

Question

Quizplus · Accepted Answer

The Z-score is calculated as $Z = \frac{X - \mu}{\sigma}$, where $X$ is the value from the normal distribution, $\mu$ is the mean, and $\sigma$ is the standard deviation. Plugging in the given values: $Z = \frac{175 - 250}{50} = -1.5$.

A Random Variable X Has a Normal Distribution with a Mean