Find the conditional probability distribution for the given problem.
While a machine is properly calibrated, .5% output is defective, but when it is out of adjustment, 6 percent of the output is defective. The technician in charge of calibration can successfully calibrate the machine in 90 percent of his attempts. The technician has just made an attempt to calibrate the machine.
1. What is the prospect that the machine is in adjustment?
2. The first unit produced after the calibration effort to be found to be defective.
3. What is the probability that machine is in adjustment?