Binomial and normal distribution are used in this question

Residences of U.S. Citizens According to the U.S. Census, 67.5% of the U.S. population were born in their state of residence. In a random sample of 221 Americans, what is the probability that fewer than 138 were born in their state of residence? Round the final answer to at least four decimal places and intermediate z-value calculations to two decimal places. P(X