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On the distant planet Cowabunga...

On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 545 pounds and a standard deviation of 66 pounds. The cow transport truck holds 13 cows and can hold a maximum weight of 7514. If 13 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 7514? (This is the same as asking what is the probability that their mean weight is over 578.)

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