Final answer:
A mutation that allows some antelope to run faster than others can lead to the evolution of this population through natural selection, as the faster running antelope have a higher chance of surviving and reproducing.
Step-by-step explanation:
The evolution of a population can be influenced by natural selection. In the case of antelope being hunted by lions on the African Savannah, a mutation that allows some antelope to run faster than others can provide a selective advantage. Antelope with the mutation will be better able to escape from the lions, and therefore have a higher chance of surviving and reproducing. Over time, this can lead to an increase in the frequency of the faster running allele in the antelope population, as more individuals with the mutation pass it on to their offspring.