Answer:
a
The probability that the selected joint was judged to be defective by neither of the two inspectors is
b
The probability that the selected joint was judged to be defective by inspector B but not by inspector A is
Step-by-step explanation:
From the question we are told that
The sample size is
The number of outcome for inspector A is
The number of outcome for inspector B is
The number of joints judged defective by both inspector is
The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as
Now
substituting values
So
the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as
Now
substituting values
So