Question: 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,

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 2800 of 10,800 passengers who were surveyed will favor the new policy?

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