Concept:
Ozonolysis of an alkene yields carbonyl compounds. Anti-Markovnikov addition occurs with HBr in the presence of peroxide.
Step 1: Determine the structure of X.
Butanone (\(CH_3COCH_2CH_3\)) + Methanal (\(HCHO\)) come from 2-methyl-1-butene (\(CH_3CH_2C(CH_3)=CH_2\)).
Step 2: Determine Y and Z.
X (\(CH_3CH_2C(CH_3)=CH_2\)) + \(HBr/peroxide \rightarrow\) Y (Anti-Markovnikov: \(CH_3CH_2C(CH_3)(H)-CH_2Br\)).
Wurtz reaction on Y (\(C_5H_{11}Br\)) involves joining two \(C_5H_{11}\) chains: \(CH_3CH_2CH(CH_3)CH_2-CH_2CH(CH_3)CH_2CH_3\).
Step 3: Analyze Z for carbon types.
Counting the structure \(C_{10}H_{22}\):
There are four \(1^\circ\), four \(2^\circ\), and two \(3^\circ\) carbons.
\[
\boxed{4, 4, 2}
\]