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1. Suppose that we have a sample of 100 people and the random variable Xi is the Height of the ith person (in centimeters). Knowing

1. Suppose that we have a sample of 100 people and the random variable Xi is the Height of the ith person (in centimeters). Knowing that all Xi 's are identically distributed and expected value of Xi is 160 and standard deviation is 25, find the probability that the total height of these people is smaller than 17,000 cm. (25 points)

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