Given age is normally distributed with mean = 7.2, s = 1.9. What is the probability that out of 5 people, 2 would be older than 10?

Question

I was considering finding p(x>10) and converting into z values (and a standard normal distribution), and then taking this as the "success" rate and inputting it into a binomial distribution with n = 5, choosing 2, and success rate = p (x>10).

What do you think? Would that work or is this not correct?