Arrange the following carbanions in the decreasing order of stability:
I. $p$-$\mathrm{Br{-}C_6H_4{-}CH_2^-}$
II. $\mathrm{C_6H_5{-}CH_2^-}$
III. $p$-$\mathrm{CH_3O{-}C_6H_4{-}CH_2^-}$
IV. $p$-$\mathrm{CHO{-}C_6H_4{-}CH_2^-}$
V. $p$-$\mathrm{CH_3{-}C_6H_4{-}CH_2^-}$
Choose the correct answer from the options given below:
IV $>$ II $>$ I $>$ III $>$ V
Step 1: Stability principle for carbanions.
Carbanions are stabilized by electron withdrawing groups and destabilized by electron donating groups.
Step 2: Analysing substituent effects.
(IV) $-CHO$: Strong $-M$ and $-I$ effect, maximum stabilization.
(I) $-Br$: $-I$ effect dominates, stabilizing the carbanion.
(II) H: No substituent effect, moderate stability.
(V) $-CH_3$: $+I$ effect, destabilizes carbanion.
(III) $-OCH_3$: Strong $+M$ effect, maximum destabilization.
Step 3: Ordering stability.
\[ \text{IV}>\text{I}>\text{II}>\text{V}>\text{III} \] Step 4: Final conclusion.
The correct decreasing order of stability is IV $>$ I $>$ II $>$ V $>$ III, corresponding to option (1).
The correct stability order of the following diazonium salts is: 
Choose the correct answer from the options given below:
If a random variable \( x \) has the probability distribution 
then \( P(3<x \leq 6) \) is equal to