An inspector has the job of checking a screw-making machine atthe start of each day. She finds that the machine needs repairspairs one day out of ten. When the machine does need repairs, allthe screws it makes are defective. Even when the machine is workingproperly, 5% of the screws it makes are defective; these defectivescrews are randomly scattered through the day's output. Use acalculator to get approximate answers to the following lowingquestions. What is the probability that the machine is in goodorder if:
a. The first screw the inspector tests is defective?
b. The first two screws are both defective?
c. The first three are all defective?
