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The weight of the ice cream that is put into containers by an automatic filling machine follows a Normal distribution with mean 201 ounces and...

The weight of the ice cream that is put into containers by an automatic filling machine follows a Normal distribution with mean 201 ounces and standard deviation 2.7 ounces. A container is under filled if it contains less than 197 ounces. 

If 4 containers are randomly selected find the probability that all of them are under filled. (Hint: Consider the Binomial distribution).

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