Three different suppliers—X, Y, and Z—provide produce for a grocery store. Twelve percent of produce from X is superior grade, 8% of produce from Y is superior grade and 15% of produce from Z is superior grade. The store obtains 20% of its produce from X, 45% from Y, and 35% from Z. (a) If a piece of produce is purchased, what is the probability that it is superior grade? (b) If a piece of produce in the store is superior grade, what is the probability that it is from X?

Elementary Linear Algebra (MindTap Course List)
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Three different suppliers—X, Y, and Z—provide produce for a grocery store.
Twelve percent of produce from X is superior grade, 8% of produce from Y is
superior grade and 15% of produce from Z is superior grade. The store obtains 20% of its produce from X, 45% from Y, and 35% from Z.

(a) If a piece of produce is purchased, what is the probability that it is superior
grade?
(b) If a piece of produce in the store is superior grade, what is the probability
that it is from X?

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