Let X N(, 2 ), and let Z = (X )/. Use Equation (4.25) to show that Z N(0, 1)

Chapter 4, Problem 19

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Let $X \sim N\left(\mu, \sigma^{2}\right)$, and let $Z=(X-\mu) / \sigma$. Use Equation (4.25) to show that $Z \sim N(0,1)$.

Equation Transcription:

$X\sim{}N(\mu{},\ {\sigma{}}^{2})$

$Z=(X-\mu{})/\sigma{}$

$Z\sim{}N(0,\ 1)$

Text Transcription:

X \sim N(\mu, \sigma^2)

Z=(X-\mu)/\sigma

Z \sim N(0, 1)

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