A random variable X has following probability distribution

Then $P(2 \leq X<5)=\ldots \ldots$

The equation of normal to the curve $y=\log _\theta x$ at the point $P(1,0)$ is ............

The values of $x$ in $\left(0, \frac{\pi}{2}\right)$ satisfying the equation $\sin x \cos x=\frac{1}{4}$ are ..........

If $\mathbf{a}+\mathbf{b}, \mathbf{b}+\mathbf{c}$ anc $\mathbf{c}+\mathbf{a}$ are coterminous edges of a parallel opiped then its volume is ..........