Step 1: Understanding the problem.
We are given a cDNA of 614 base pairs (bp) that includes 125 bp 5'-UTR and 120 bp 3'-UTR. The coding region (which codes for the polypeptide) will be the remaining part of the cDNA after subtracting the UTR regions.
\[
\text{Length of coding region} = 614 \, \text{bp} - 125 \, \text{bp (5'-UTR)} - 120 \, \text{bp (3'-UTR)} = 369 \, \text{bp}
\]
Step 2: Converting the coding region length to amino acids.
Each codon consists of 3 base pairs, and each codon codes for one amino acid. To find the number of amino acids, divide the length of the coding region by 3:
\[
\text{Number of amino acids} = \frac{369}{3} = 123
\]
Final Answer:
\[
\boxed{123}
\]