The production manager would like 95 of all pieces of this


During the assembly of a certain piece of exercise equipment, 3 welds are required during different phase of the assembly process. It is assumed that the welds are performed independently of one another. Due to variation in the technique and materials used, only 97% of all welds are performed satisfactorily, with the remaining 3% being classified as defective.

(i) What percentage of all pieces of this type of equipment will have at least one defective weld?

(ii) The production manager would like 95% of all pieces of this type of equipment to have no defective welds. As much, the percentage of satisfactory welds must be increased. To what value must the percentage be increased in order that exactly 95% of all pieces of equipment have no defective welds?

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