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 178 recent high school graduates is randomly selected. After verifying the conditions for the Central Limit Theorem are met, nd the probability that at most 62% 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 The Large Samples condition The Big Populations condition reasonably be assumed to hold. The probability is E. (Type an integer or decimal rounded to three decimal places as needed.)