On the distant planet Cowabunga , the weights of cows have a normal d
On the distant planet Cowabunga , the weights of cows have a normal
distribution with a mean of 496 pounds and a standard deviation of 71 pounds. The cow transport truck holds 12 cows and can hold a maximum weight of 6264. If 12 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 6264? (This is the same as asking what is the probability that their mean weight is over 522.)
(Give answer correct to at least three decimal places.)
probability =
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