Question: Suppose that X ~ N(-1.9, 2.2), Y ~ N(3.3, 1.7), and Z ~ N(0.8, 0.2) are independent random variables. Find the probability that (a) X

Suppose that X ~ N(-1.9, 2.2), Y ~ N(3.3, 1.7), and Z ~ N(0.8, 0.2) are independent random variables. Find the probability that
(a) X - Y ≥ -3
(b) 2X + 3Y + 4Z ≤ 10
(c) 3Y - Z ≤ 8
(d) 2X - 2Y + 3Z ≤ -6
(e) |X + Y - Z| ≥ 1.5
(f) |4X - Y + 10| ≤ 0.5

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