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The distribution of the baggage weights for passengers using a particular airline has a mean of 20 lbs and a standard deviation of 5 lbs. What is the probability that for (a random sample of) 100 passengers … a) the total luggage weight is less than 2,100 lbs? b) the sample mean weight is within 0.5 lb of the overall mean? That is, what is the probability that the sample mean weight is between 19.5 and 20.5 lbs?
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