Let X1, X2, . . . , X100 denote the actual net weights of 100 randomly selected

Question:

Let X1, X2, . . . , X100 denote the actual net weights of 100 randomly selected 50-lb bags of fertilizer.

a. If the expected weight of each bag is 50 and the variance is 1, calculate P(49.9 X 50.1) (approximately)

using the CLT.

b. If the expected weight is 49.8 lb rather than 50 lb so that on average bags are underfilled, calculate P(49.9 X 50.1).

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