Demigods and other hybrid mythological creatures get their powers from mutations in their DNA. These gene mutations are normally distributed with an average of about 11,400 mutations and a standard deviation of 3,400. The count can be found with a simple blood test and the higher the count one has, the more magical potential one has. Thalia Grace, daughter of Zeus, had a mutation count of 21,000 and Annabeth Chase, daughter of Athena, had a count of 17,700. It is thought that Percy's potential falls somewhere between the two great heroines. What's the probability that Percy's mutation count falls between Thalia and Annabeth?

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