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Probability density function of random variable x is:

A. $$\int\limits_{ - \infty }^\infty {{f_x}\left( x \right)dx = 1} $$

B. $$\frac{{d{f_x}}}{{dx}}\left( x \right) = {F_x}\left( x \right)$$

C. $$0 \leqslant \int_x^{} {\left( x \right) \leqslant 1} $$

D. $$\int_x^{} {\left( x \right) = \int\limits_{ - \infty }^\infty {{F_x}\left( x \right)dx} } $$

Answer: Option A


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