(12) Acme Corporation has 3 plants producing their Rockets for Coyotes (RfC). Plant A produces 40% of all RfC, plant B 40%, and plant C the remaining 20%. We know that 7% of Plant A's production is defective, 6% of plant B's production is defective, and 3% of plant C's production is defective. (a) Create a tree diagram to illustrate the information above. (b) What percent of the total production of RfC is defective? (c) If a RfC is defective, what is the probability that it was produced in plant B?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(12) Acme Corporation has 3 plants producing their Rockets for Coyotes (RfC). Plant A
produces 40% of all RfC, plant B 40%, and plant C the remaining 20%. We know
that 7% of Plant A's production is defective, 6% of plant B's production is defective,
and 3% of plant C's production is defective.
(a) Create a tree diagram to illustrate the information above.
(b) What percent of the total production of RfC is defective?
(c) If a RfC is defective, what is the probability that it was produced in plant B?
Transcribed Image Text:(12) Acme Corporation has 3 plants producing their Rockets for Coyotes (RfC). Plant A produces 40% of all RfC, plant B 40%, and plant C the remaining 20%. We know that 7% of Plant A's production is defective, 6% of plant B's production is defective, and 3% of plant C's production is defective. (a) Create a tree diagram to illustrate the information above. (b) What percent of the total production of RfC is defective? (c) If a RfC is defective, what is the probability that it was produced in plant B?
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