Q12 13 need only final answer as soon as possible

Question 12 1 pts A motor company has 3 manufacturing plants. Plant 1 produces 25% of motors with 1% defect rate. plant 2 produces 40% of motors with 1.6% defect rate, and plant 3 produces 35% of motors with 1.3% defect rate. If a motor is randomly chosen and is found defective, use Baves' Rule to find the probability that it came from plant 3. Provide your answer in decimal form and round it to three decimal places. Question 13 1 pts Awater well is being drilled in the desert where soil is either rock, clay, or sand. Probability of rock FIR) - 0.42, probability of clay PIC) - 0.34, and probability of sand PIS} - 0.24. A geological test gives positive results with 40% accuracy in rock, 50% accuracy with clay. and 80% accuracy in sand. Given the test is positive, what is the probability that the soil is rock. PlRocklpositive}? Use Bayes' rule. Provide your answer in decimal form and round it to three decimal places