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A bag of cookies is underweight if it weighs less than 500 grams. The filling process dispenses cookies with weight that follows the normal distribution

A bag of cookies is underweight if it weighs less than 500 grams. The filling process dispenses cookies with weight that follows the normal distribution with mean 505 grams and standard deviation 4 grams. If you randomly select 15 bags, what is the probability that fewer than 4 of them will be under weight? Enter your answer to 5 decimal places.

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