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The capacity of an elevator is12 people or1956 pounds. The capacity will be exceeded if12 people have weights with a mean greater than1956 divided by

The capacity of an elevator is12 people or1956 pounds. The capacity will be exceeded if12 people have weights with a mean greater than1956 divided by 12 equals 163 pounds.1956/12=163pounds. Suppose the people have weights that are normally distributed with a mean of169lb and a standard deviation of25 lb

Find the probability that12 randomly selected people will have a mean that is greater than163 pounds.

The probability is approximately-

. (Round to four decimal places as needed.)

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