MCQ
$\int\limits_2^3 {\frac{{{{(x + 2)}^2}}}{{2{x^2} - 10x + 53}}} dx = $
- A$2$
- B$1$
- ✓$\frac{1}{2}$
- D$\frac{5}{2}$
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$(A)$ $P\left[X_1^c \mid x\right]=\frac{3}{16}$
$(B)$ $P [$ Exactly two engines of the ship are functioning $\mid X ]=\frac{7}{8}$
$(C)$ $P\left[X \mid X_2\right]=\frac{5}{16}$
$(D)$ $P\left[X \mid X_1\right]=\frac{7}{16}$
$f(x) = \left\{ {\begin{array}{*{20}{l}}
{\frac{{k\cos x}}{{\pi - 2x}},}&{{\rm{ if }}\,x\, \ne \,\frac{\pi }{2}}\\
{3,}&{{\rm{ if }}\,x\, = \,\frac{\pi }{2}}
\end{array}} \right.$ at $x = \frac{\pi }{2}$