find the answer

According to data released in 2016, 69% of students in the United States enroll in college directly after high school graduation. Suppose a sample of 206 recent high school graduates is randomly selected. After verifying the conditions for the Central Limit Theorem are met, find the probability that at most 63% enrolled in college directly after high school graduation. First, verify that the conditions of the Central Limit Theorem are met. The Random and Independent condition holds assuming independence. The Large Samples condition holds. The Big Populations condition can reasonably be assumed to hold. The probability is. (Type an integer or decimal rounded to three decimal places as needed.)