5.80 Binomial distribution?
Suppose a manufacturing colleague tells you that 1% of items produced in first shift are defective, while 1.5% in second shift are defective and 2% in third shift are defective. He notes that the number of items produced is approximately the same from shift to shift, which implies an average defective rate of 1.5%. He further states that because the items produced are independent of each other, the binomial distribution with of 0.015 will represent the number of defective items in an SRS of items taken in any given day. What is your reaction?