MCQ
Which of the following can be the probability density function for a normal variable $X$ ?
  • $f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{1}{2}\left(\frac{1-10}{4}\right)^2}$
  • B
    $f(x)=\frac{1}{\sqrt{16 \pi}} e^{\frac{1}{2}\left(\frac{x-10}{4}\right)^2}$
  • C
    $f(x)=\frac{1}{\sqrt{4 \pi}} e^{\frac{1}{2}\left(\frac{x-10}{4}\right)^2}$
  • D
    $f(x)=\frac{1}{4 \sqrt{\pi}} e^{\frac{-1}{2}\left(\frac{x-10}{4}\right)^2}$

Answer

Correct option: A.
$f(x)=\frac{1}{\sqrt{32 \pi}} e^{\frac{1}{2}\left(\frac{1-10}{4}\right)^2}$

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