The question highlights a scenario where the DNA sequences of a specific gene differ by 2% between humans and chimpanzees, yet the resulting proteins are identical. This implies that the DNA changes occurred but did not alter the final amino acid sequence.
Let's examine how different types of genetic mutations affect protein sequences:
The genetic code's degeneracy is key. For example, the amino acid Leucine can be coded by six different codons (UUA, UUG, CUU, CUC, CUA, CUG). A 2% DNA divergence might involve changes in these codons (e.g., from CUU to CUC), which are synonymous changes. These changes affect the DNA sequence but do not change the amino acid translated, thus preserving the protein sequence's integrity.
Therefore, synonymous changes in the gene sequences between humans and chimpanzees explain why the DNA differs, but the encoded protein remains identical.
Assume that the human haploid genome is $3 \times 10^9$ base pairs long. The mutation rate, when DNA is copied, is $5 \times 10^{-11}$ per base pair per replication. Based on these numbers, the expected number of mutations that take place per replication of the human haploid genome is _______
(Round off to two decimal places)