5984概率简单数值题short
Expected Inspection Cost Until the First Defect
题目
A quality line inspects items one at a time; each item is defective independently with probability . Inspection stops at the first defective item. Each inspection (defective or not) costs an i.i.d. amount with , independent of the defect outcomes. Let be the number of items inspected. Find the expected total inspection cost .
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