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Suppose that a certain product is made in two factories: one in Ohio and one in Indiana. A single product is selected at random. The probabilities of the origin of this product and also whether or not the product is defective are shown in the probability tree below. Let A be the event that the product you choose is made in Ohio and let B be the event that the product you choose is defective. Ohio 0.45 Indiana 0.55 Defective 0.02 Good 0.98 0.96 Find P (BA). Write your answer as a decimal rounded to 3 decimal places (if necessary). Defective 0.04 Good

Suppose that a certain product is made in two factories: one in Ohio and one in Indiana. A single product is selected at random. The probabilities of the origin of this product and also whether or not the product is defective are shown in the probability tree below. Let A be the event that the product you choose is made in Ohio and let B be the event that the product you choose is defective. Ohio 0.45 Indiana 0.55 Defective 0.02 Good 0.98 0.96 Find P (BA). Write your answer as a decimal rounded to 3 decimal places (if necessary). Defective 0.04 Good

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that a certain product is made in two factories: one in Ohio and one in Indiana. A single product is selected at random. The probabilities of the origin of this product and also whether or not the product is defective are shown in the probability tree below. Let \( A \) be the event that the product you choose is made in Ohio and let \( B \) be the event that the product you choose is defective. **Probability Tree Diagram:** - Ohio - Probability = 0.45 - Defective - Probability = 0.02 - Good - Probability = 0.98 - Indiana - Probability = 0.55 - Defective - Probability = 0.04 - Good - Probability = 0.96 Find \( P(B|A) \). Write your answer as a decimal rounded to 3 decimal places (if necessary).
Transcribed Image Text:Suppose that a certain product is made in two factories: one in Ohio and one in Indiana. A single product is selected at random. The probabilities of the origin of this product and also whether or not the product is defective are shown in the probability tree below. Let \( A \) be the event that the product you choose is made in Ohio and let \( B \) be the event that the product you choose is defective. **Probability Tree Diagram:** - Ohio - Probability = 0.45 - Defective - Probability = 0.02 - Good - Probability = 0.98 - Indiana - Probability = 0.55 - Defective - Probability = 0.04 - Good - Probability = 0.96 Find \( P(B|A) \). Write your answer as a decimal rounded to 3 decimal places (if necessary).
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