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On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 436 pounds and a standard deviation of

On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 436 pounds and a standard deviation of 68 pounds. The cow transport truck holds 17 cows and can hold a maximum weight of 7650. If 17 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 7650? (This is the same as asking what is the probability that their mean weight is over 450.)

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