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The PDF of a Gaussian random variable $X$ is given by $\operatorname{Px}(x)=\frac{1}{3 \sqrt{2 \pi}} e^{\frac{-(x-4)^{2}}{18}}$ The probability of the event $\{X=4\}$ is

  1. $\frac{1}{2}$
  2. $\frac{1}{3 \sqrt{2 \pi}}$
  3. $0$
  4. $\frac{1}{4}$
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