Question

Need question number 4

Show all of your work. No credit will be given if there is no work. Simplify if possible, unless noted. Setup: Suppose the probability of a part being manufactured by Machine A is 0.6 Suppose the probability that a part was manufactured by Machine A and the part is defective is 0.09 Suppose the probability that a part was NOT manufactured by Machine A and the part IS defective is 0.13 Questions To Answer: 1. (2 pts) Find the probability that a part is defective given that it was made by Machine A 2. (2 pts) Find the probability that a part is defective. 3. (4 pts) Are the states of a part being made by Machine A and being defective independent? Circle your answer and state your reason YES, they are independent NO, they are NOT independent Reason: 4. (2 pts) Find the probability that Machine A produced a specific part, given that the part was defective. Round your final answer to 2 decimals, if needed

Answer 1

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