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If you know that the average weight of the people in a population is 160 lbs, and the variance is 25, what is the probability that the average weight in a sample of 16 people is over 165 lbs? What is the probability that the average weight in a sample of 36 is over 162.5 lbs? What is the probability that he average weight will be between 158 and 161 lbs? (1)

a) >165lbs average (sample of 16):

b) >162.5lbs average (sample of 36):

c) P(158 < x < 161):

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