1. A machine operation produces bearings whose diameters are normally distributed, with a mean of 0.497 inch and a standard deviation of 0.002 inch. Suppose that specifications require that the bearing diameter be 0.500 inch plus or minus 0.004 inch. Normal distribution:,. Specifications: ( 0.496 , 0.504 )
2. What proportion of the production will be unacceptable?
3. A quality control inspector selects bearings from the production independently and at random. What is the probability that the first unacceptable bearing will be the sixth one selected?
4. What is the probability that the third unacceptable bearing will be the sixth one selected?
5. Suppose ten bearings are independently and randomly selected from the production process. What is the probability that exactly 2 of the 10 will be unacceptable?
6. What is the probability that the average diameter of 10 randomly selected bearings is within 0.003 inch of 0.500 inch?
7. Suppose 84 bearings are independently and randomly selected from the production process. What is the probability that at most 8 of them will be unacceptable? ( Use Normal approximation.)