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Suppose the weights of all DVC students are normally distributed with mean 168.2 pounds and...

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Suppose the weights of all DVC students are normally distributed with mean 168.2 pounds and standard deviation 22.1 pounds.(a) If one student is randomly selected, find the probability that the student weighs more than 180 pounds.(b) The elevator in the Math Building can safely lift 1,800 pounds; it is dangerous if the total weight is over 1,800 pounds. If 10 people are in the elevator, find the probability that their mean weight is greater than 180 pounds (hence, the total weight exceeds 1,800 pounds). Is it safe to have 10 people in the elevator? Explain.

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