Distributionsmedium
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Let XX be a random variable representing the number of items inspected until the first defective item is found. If the probability of an item being defective is p=0.05p = 0.05, and XX follows a Geometric distribution P(X=k)=(1p)k1pP(X=k) = (1-p)^{k-1}p for k=1,2,k=1, 2, \dots, what is the probability that the first defective item is found on or after the 5th inspection?