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There are three options for the meal choice on a flight on a particular air route: beef, fish and vegetarian. Over many flights it has

There are three options for the meal choice on a flight on a particular air route: beef, fish and vegetarian. Over many flights it has been observed that the probability that a passenger chooses beef is 0.5732. For a sample of 349 passengers on one flight what Z value would you use to find the probability that more than 55.26% of passengers request beef? Give your result rounded to four decimal places.

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