A construction site receives fill material from three sources, with sources A, B, and C providing 15,

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A construction site receives fill material from three sources, with sources A, B, and C providing 15, 25, and 60% of the total, respectively. On the average, fill material from sources A, B, and C do not have the proper moisture characteristics 2, 6, and 3% of the time, respectively. If one dump truck is sampled at random and the fill material does not have the proper moisture, what is the probability that it came

(a) from source A,

(b) from source B, and

(c) from source C?

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