80% of the Easter bunnys produced are not defective. Each Easter bunny is inspec

Question

80% of the Easter bunnys produced are not defective. Each Easter bunny is inspected for quality before it is shipped, 10% of the good Easter bunnies are ruled out as defective and not shipped while only. 5% of the defective bunnies are approved and shipped. If an Easter bunny is shipped, what is the probability that it is defective? Use a probability tree to help solve this problem. 80% of the Easter bunnys produced are not defective. Each Easter bunny is inspected for quality before it is shipped, 10% of the good Easter bunnies are ruled out as defective and not shipped while only. 5% of the defective bunnies are approved and shipped. If an Easter bunny is shipped, what is the probability that it is defective? Use a probability tree to help solve this problem.

Explanation / Answer

probabilty it is shipped =probabilty it is good*goes through+probabilty it is defective*goes through

=0.8*0.9+0.2*0.05 =0.73

hence probability that it is defective, given shipped =0.2*0.05/0.73=0.0137

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