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Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300. In addition, for

Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300. In addition, for 15% of the bills, the amount billed was greater than $1000. A sample of 925 bills is drawn.

What is the probability that the average amount billed on the sample bills is greater than $500? (Round the final answer to four decimal places.)

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