AdaAda

Start / Bibliothek / CSAT (Suneung) essentials: original practice / Synthetische Lernkarte

How is a continuous random variable $X \sim N(\mu, \sigma^2)$ standardized into a standard normal variable $Z$?

Lernkarte aus dem Deck CSAT (Suneung) essentials: original practice.

Antwort

$Z = \frac{X - \mu}{\sigma}$, where $Z \sim N(0, 1)$.

Erklärung

Standardization allows calculating probabilities such as $P(a \le X \le b)$ by converting values to standard deviations from the mean using standard $Z$-tables.

Synthetischer Inhalt · Redaktion: Ada