A nationwide survey analyzing trends in popular media found that 81% of U.S. college students prefer British baking shows over American baking shows.
You are interested to see if this result holds at your university. You take a sample of 140 students on campus and find that 125 of them prefer watching British baking shows.
What is the probability of obtaining a sample of size 140 where 125 or more students prefer British baking shows?
Include proper probability notations and round your answer to 4 decimal places