I have a homework on probability. It goes like this
The probability that 1 percent of the blowout preventers produced by company PreBlow are defective is 0.80, the probability that 5 percent of the preventers are defective is 0.10, and the probability that 10 percent of the preventers are defective is 0.10. A blowout preventer is randomly chosen, tested and is defective.
a. What is the probability that 1 percent of the preventers are defective? That 5 percent are defective? That 10 percent are defective?
b. Suppose that a second preventer is randomly chosen from the companys output, and it too is defective. Following this second observation, what are the probabilities that 1, 5, and 10 percent, respectively, of the items produced by the process are defective?
My answer is the probability remain the same for a and b (0.8, 0.1, 0.1 for 1%, 5%, and 10%). Is that correct?
Thank you for your help!