Question: Ques4 Problem #3: [12 marks] The probability that any integrated circuit is defective is 0.01, and the circuits are independent. Answer the following questions mentioning

Ques4

Problem #3: [12 marks] The probability that any integrated circuit is defective is 0.01, and the circuits are independent. Answer the following questions mentioning the probability distribution you are using. (a) An electronic product contains 53 integrated circuits and operates only if there are no defective integrated circuits. What is the probability that the product operates? (b) What is the mean number of circuits that need to be checked to obtain five defective circuits? (c) In a large lot of circuits, what is the probability that the eighth circuit chosen is the first defective one? (d) An electronic product contains 40 integrated circuits and 2 of them are defective circuits. If we select 5 of its circuits without replacement, what is the probability that we will choose both of the defective circuits

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