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An elevator in an apartment building has a load restriction of 12 people or 2000 pounds. The weights of the residents of the apartment building

An elevator in an apartment building has a load restriction of 12 people or 2000 pounds. The weights of the residents of the apartment building are normally distributed with mean of 153.3 pounds and standard deviation of 49.8 pounds. If 12 residents are on the elevator at any given time, what is the probability the total weight of the group will not exceed the load restriction?

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