A company produces power supplies for desktop computers. The power supplies are produced at one of three plants: 50% at plant 1; 30% at plant 2; the remaining ones at plant 3. Data analysis has determined that 1% of power supplies produced at Plant 1 are defective; 2% of those produced Plant 2 are defective; and 3% of those produced at Plant 3 are defective.

What is the probability that a defective power supply was produced at Plant 1? Plant 2? Plant 3? To answer these questions, complete the following table. Show details of your calculations for the posterior probabilities.

	Prior Probabilities	Conditional Probabilities	Joint Probabilities	Posterior Probabilities
Plant 1
Plant 2
Plant 2

Posterior Probabilities: