A 4Mbp bacterial genome has 4000 genes and the GC content of the genome is 62%. 76% of all genes start with the codon ATG. What percentage of all ATGs in this genome are gene starts? Assume that the total number of ATGs in the genome include ATGs that occur by chance alone (and there is no selection that favors or eliminates these ATGs) plus those ATGs that are there on purpose and signal the start of translation.

A hint: Since the number of the ATGs that serve as start codons (76% of 4000) refers to both DNA strands, the expected number of randomly occurring ATGs has to be the total for both strands as well.