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Examveda

If X ∼ N(5,1), the probability density function of the variate X is

A. $$\frac{1}{{5\sqrt {2{\pi ^{\text{e}}}} }} - \frac{1}{2}{\left( {\frac{{{\text{x}} - 1}}{5}} \right)^2}$$

B. $$\frac{1}{{\sqrt {2{\pi ^{\text{e}}}} }} - \frac{1}{2}{\left( {{\text{x}} - 5} \right)^2}$$

C. $$\frac{1}{{5\sqrt {2{\pi ^{\text{e}}}} }} - \frac{1}{2} \times 2$$

D. $$\frac{1}{{\sqrt {2{\pi ^{\text{e}}}} }} - \frac{1}{2}{\left( {\frac{{{\text{x}} - 1}}{5}} \right)^2}$$

Answer: Option B


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