The correct answer is:
(b) All scores for matching a particular amino acid were normalized to the same mean and standard deviation, and all amino acid identities were given the same score to provide an equal contribution for each amino acid in a sequence alignment
This statement is untrue. The PAM (Point Accepted Mutation) matrices, such as PAM250, are designed to represent evolutionary changes in protein sequences. They are not based on normalizing all scores to the same mean and standard deviation or giving equal scores to each amino acid identity. Instead, they assign different scores to each amino acid pair based on their likelihood of mutation during evolution. The matrix was not intended to equalize contributions from each amino acid but rather to reflect the probability of substitutions between amino acids over evolutionary time.
The other statements about the modification of PAM matrices (a, c, and d) are correct in historical and practical contexts.