A certain type of automobile parts subject to three kinds of defects X, Y, and Z. A sample of 1000 pieces was inspected with the following results: 2.1% has type X defect; 2.4% has type Y defect; 2.8% has type Z defect; 0.3% has both type X and Y defe

 

A certain type of automobile parts subject to three kinds of defects X, Y, and Z. A sample of 1000 pieces was inspected with the following results:

2.1% has type X defect;

2.4% has type Y defect;

2.8% has type Z defect;

0.3% has both type X and Y defects;

0.4% has both type X and Z defects;

0.6% has both type Y and Z defects;

0.1% has type X, Y, and Z defects; Then

(a) What percent had none of these defects?

(b) What percent had at least one of these defects?

(c) What percent were free of type X and/or type Y defects?

(d) What percent had no more than one of these defects?