Derivative of $\log _{e^2}(\log x)$ with respect to $x$ is

In $\triangle A B C$; with usual notations, if $\cos A=\frac{\sin B}{\sin C}$ then the triangle is ............

For a GP, if $(m+n)^{\text {th }}$ term is $p$ and $(m-n)^{\mathrm{th}}$ term is $q$, then $m^{\text {th }}$ term is ......

A random variable X has following probability distribution

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