Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Answer:
A. 0.028
B. 0.0628
C. 0.45
Step-by-step explanation:
A. Calculation to determine the probability that it is adefective hard drive and from plant II
Using CONDITIONAL PROBABILITY formula
P(B∩A2) =P(A2)P(B|A2)
Let plug in the formula
P(B∩A2)= 0.35×0.08
P(B∩A2)= 0.028
Therefore the probability that it is adefective hard drive and from plant II will be 0.028
B. Calculation to determine the probability that a randomly selected hard drive is defective
Using LAW OF TOTAL PROBABILITY formula
P(B) =P(A1)P(B|A1) +P(A2)P(B|A2) +P(A3)P(B|A3)
Let plug in the formula
P(B)= 0.54×0.04 + 0.35×0.08 + 0.11×0.12
P(B)=0.0216+0.028+0.0132
P(B)= 0.0628
Therefore the probability that a randomly selected hard drive is defective is 0.0628
C. Calculation to determine the probability that it came from plant II
Using CONDITIONAL PROBABILITY formula two twice
P(A2|B) =P(A2∩B)/P(B)
Let plug in the formula
P(A2|B)=0.0280/0.0628
P(A2|B)= 0.45
Therefore the probability that it came from plant II is 0.45
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.