Step 1: Read the reactant.
The starting molecule is $\text{CH}_3-\text{CH}=\text{CH}-\text{CH}_2-\text{CHO}$. It has a double bond ($C=C$) and an aldehyde group ($-CHO$).
Step 2: Know the reagent.
$\text{LiAlH}_4$ is a strong reducing agent. It adds hydrogen to certain groups.
Step 3: See what it attacks.
$\text{LiAlH}_4$ reduces the polar carbonyl group, turning $-CHO$ into the alcohol $-CH_2OH$.
Step 4: See what it leaves alone.
A plain carbon-carbon double bond is not polar, so $\text{LiAlH}_4$ does not touch it. The double bond here is separated from the $-CHO$ by a $-CH_2-$ group, so it stays.
Step 5: Write the product.
\[ \text{CH}_3-\text{CH}=\text{CH}-\text{CH}_2-\text{CHO} \rightarrow \text{CH}_3-\text{CH}=\text{CH}-\text{CH}_2-\text{CH}_2-\text{OH} \]
Step 6: Conclusion.
Only the aldehyde becomes an alcohol; the double bond remains.
\[ \boxed{\text{CH}_3-\text{CH}=\text{CH}-\text{CH}_2-\text{CH}_2-\text{OH (Option 4)}} \]