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The amount of soda in a half-liter bottle follows a normal distribution. Assume = 500 ml and = 10 ml. A government auditor will fine

The amount of soda in a half-liter bottle follows a normal distribution. Assume = 500 ml and = 10 ml. A government auditor will fine the company if a random sample of 5 bottles has a sample mean under 490 ml.

Find the probability the company will be fined.

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