Examveda

If X is a continuous random variable whose probability density function is given by
\[{\text{f}}\left( {\text{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {{\text{K}}\left( {5{\text{x}} - 2{{\text{x}}^2}} \right)}&{0 \leqslant {\text{x}} \leqslant 2} \\ 0&{{\text{otherwise}}} \end{array}} \right.\]
then P(x > 1) is

A. $$\frac{3}{{14}}$$

B. $$\frac{4}{5}$$

C. $$\frac{{14}}{{17}}$$

D. $$\frac{{17}}{{28}}$$

Answer: Option D


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