Use a normal approximation to the binomial. An airport announced a plan to make a special security checkpoint so that first-class passengers would have priority passing through security. Airlines supported this plan, assuming that 25% of passengers would like the idea and that it would lead to the sale of more first-class tickets. If this is true, what is the probability that more than 2640 of 10,400 passengers who were surveyed will favor the new policy? (Round your answer to four decimal places.)