MCQ
$\int_0^{\pi /2} {{{\sin }^2}x{{\cos }^3}x} \,dx = $
- A$0$
- ✓$\frac{2}{{15}}$
- C$\frac{4}{{15}}$
- Dએકપણ નહીં.
$\int_0^{\pi /2} {{{\sin }^2}x{{\cos }^3}xdx = \frac{{\Gamma \,\left( {\frac{3}{2}} \right)\,\Gamma 2}}{{2\Gamma \left( {\frac{7}{2}} \right)}} = \frac{2}{{15}}} $.
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| $X$ | $1$ | $2$ | $3$ | $4$ | $5$ |
| $P(X)$ | $K$ | $2K$ | $2K$ | $3K$ | $K$ |
Let $\mathrm{p}=\mathrm{P}(1\,<\mathrm{X}\,<\,4 \mid \mathrm{X}\,<\,3)$. If $5 \mathrm{p}=\lambda \mathrm{K}$, then $\lambda$ equal to .... .