Question: Martin Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspection procedure is to select 6 items, and if there are 0 or 1 defective cases in the group of 6, the process is said to be in control. If the number of defects is more than 1, the process is out of control. Suppose that the true proportion of defective items is 0.15.

a. What is the probability that there will be 0 or 1 defects in a sample of 6 (i.e., that the process is in control)?

b. What is the probability that there will be more than 1 defect in a sample of size 6 (i.e., that the process is out of control)?

c. What is the probability that there will be exactly 2 defects in a sample of size 6? 0.17617