CLT section and Phi table

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2026-02-19 07:44:41 -05:00
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</md>
The function <m>f(x; \mu, \sigma^2)</m> is called a <term>normal density function</term> with parameters <m>\mu</m> and <m>\sigma^2</m>.
A continuous random variable <m>X</m> with pdf <m>f(x; \mu, \sigma^2)</m> is said to have a <term>normal distribution</term>.
We'll write <m>X \sim \Norm(\mu, \sigma^2)</m>.
</p>
<p>
In the specific case that <m>\mu = 0</m> and <m>\sigma^2 = 1</m>, we call the resulting distribution the <term>standard normal distribution</term>.
We'll use the notation <m>\phi(x)</m> for the standard normal density function, and <m>\Phi(x)</m> for the standard normal cumulative distribution function.
</p>
</statement>
</definition>
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</p>
</answer>
</exercise>
</exercises>
</exercises>
</section>