5.36 From a large lot of new tires, n are to be sampled by a potential buyer, and the number of defectives X is to be observed. If at least one defective is observed in the sample of n tires, the entire lot is to be rejected by the potential buyer. Find n so that the probability of detecting at least one defective is approximately 0.90 if a 10% of the lot is defective.

b 5% of the lot is defective.