Some psychologists are conducting research with an extraversion inventory, for which, by design, the scores are normally distributed in the general population, with mean 50 and standard deviation 10. What is the probability that the mean extraversion score from a sample of 25 people will be greater than 51?

What is the probability that the mean extraversion score from a sample of 100 people will fall further from the mean (i. e., further out into the tails) than either 49 OR 51 (i. e., add the two areas)?