In 2018, it was estimated that approximately 39% of the American population watches the Super Bowl yearly. Suppose a sample of 124 Americans is randomly selected. After verifying that the conditions for the Central Limit Theorem are met, find the probability that the majority (more than 50%) watched the Super Bowl.
First, verify that the conditions of the Central Limit Theorem are met:
1. The Random and Independent condition holds, assuming independence.
2. The Large Samples condition holds.
3. The Big Populations condition can reasonably be assumed to hold.
Find the probability (Type an integer or decimal rounded to three decimal places as needed).