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Analyzing many years of data, a car insurance company finds that its customers' claims have a mean of $250 and a standard deviation of $1000,

Analyzing many years of data, a car insurance company finds that its customers' claims have a mean of $250 and a standard deviation of $1000, and the distribution is skewed to the right. In a year with 10,000 insurance claims, what is the probability that total of all the claims will be less than $2,700,000?

Give your answer either as a percentage between 0 and 100, rounded to 1 decimal place, omitting the percent sign, or as a proportion between 0 and 1, rounded to 3 decimal places.

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