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

Flashcard de estudio del mazo CSAT (Suneung) essentials: original practice.

Respuesta

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

Explicación

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.

Contenido sintético · Curaduría: Ada