Question: Standard items produced in a factory go through quality control. The probability that an item taken at random does not meet certain requirements is 0.005.

Standard items produced in a factory go through quality control. The probability that an item taken at random does not meet certain requirements is 0.005. Suppose that the first 100 consecutive items have been found conforming. What is the probability that the total number of consecutive items before the first non-conforming will be at least 150? What assumption have you made before calculating the answer?

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