Suppose that the average full time college student in the U.S. needs a total of $10,500 per year to cover the costs of tuition, books and fees with the standard deviation of $1,300. If 50 full time students are randomly sampled in the U.S., determine the probability that their total annual costs for tuition, books as well as fees exceed $550,000? Round your answer to 4 decimal places. Remember to round your z-value to 2 decimal places.
To answer the question input only the actual number. Do not include units. Do not give your answer in sentence form -- just include the numerical answer rounded to exactly 4 decimal places.