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1. Human adults in Europe have an average weight of 156lbs with a standard deviation of 22lbs. An elevator can hold 8 humans, but, only if their average weight is 175lbs or less. Use the Central Limit Theorem to calculate the following probabilities if a random selection of 8 humans walk into an elevator in Europe:
a. Calculate the mean and standard deviation of the sample mean weight of 8 randomly selected humans.
b. Calculate the probability that a random selection of 8 humans will be too heavy to ride the elevator.
The average number of visitors on 10 randomly chosen days is computed. What is the probability that the estimated average exceeds 16,000?
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