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Let x1, x2, . . . , x100 denote the actual net weights (in pounds) of...


Let x1, x2, . . . , x100 denote the actual net weights (in pounds) of 100 randomly selected bags of fertilizer. Suppose that the weight of a randomly selected bag has a distribution with mean 25 lb and variance 1 lb2. Let x be the sample mean weight (n = 100).

(a) What is the probability that the sample mean is between 24.75 lb and 25.25 lb? (Round your answer to four decimal places.)
P(24.75 ≤ x ≤ 25.25) =  

(b) What is the probability that the sample mean is greater than 25 lb?

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