Answer:
(a) 0.007238 or 07238%
(b) 0.003468 or 0.3468%
Step-by-step explanation:
(a) Since all it takes is one defective rivet for a seam to be reworked. The probability of a defective rivet 'p' for 16% of seams needing reworking is:
[tex]1-(1-p)^{24} = 0.16\\1-p = \sqrt[24]{0.84}\\p=0.007238[/tex]
The probability that a rivet is defective 0.007238 or 0.7238%.
(b) To ensure that only 8% of seams need reworking, the probability 'p' must be:
[tex]1-(1-p)^{24} = 0.08\\1-p = \sqrt[24]{0.92}\\p=0.003468[/tex]
In order to ensure that only 8% of all seams need reworking, the probability of a defective rivet should be 0.003468 or 0.3468%.
