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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Chapter1: Combinatorial Analysis
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4. 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?
Transcribed Image Text:4. 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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