Question 1: A Tamiami shearing machine is producing 10 percent defective pieces, which is abnormally high. The quality control engineer has been checking the output by almost continuous sampling since the abnormal condition began. What is the probability that in a sample of 10 pieces:
a. Exactly 5 will be defective?
b. 5 or more will be defective?
Question 2: Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 200 antennas, find the probability that:
a. None of the antennas is defective.
b. Three or more of the antennas are defective.