LetX₁,X₂, . . . ,X₁₀₀denote the actual net weights of 100 randomly selected 50-lb bags of fertilizer. (Give answers accurate to 3 decimal places.)

Let X1. X2, . . . , X 100 denote the actual net weights of 100 randomly selected SG-Ib bags of fertilizer. (Give answers accurate to 3 decimal places.) (a) If the expected weight of each bag is 50 and the variance of X is 1.5. calculate P(49.9 S )7 S 50.1) (approximately) using the CLT. (b) If the expected weight is 49.8 lb rather than 50 In so that on average bags are underlled. calculate P(49.9 S Y S 50.1}