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An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. The product operates only if there are no defective integrated circuits. What is the probability that there is at least one defective integrated circuit? Round to two decimal places.
An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the integrated circuits are independent. The product operates only if there are no defective integrated circuits. What is the probability that there is at least one defective integrated circuit? Round to two decimal places.
Answer:There is a 33.10% probability that there is at least one defective integrated circuit.Step-by-step explanation:For either integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. This means that we can solve this problem using the binomial probability distribution.Binomial probability distributionThe binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.In whichis the number of different combinatios of x objects from a set of n elements, given by the following formula.Andis the probability of X happening.In this problemThe electonic product contains 40 integrated circuits, so.The probability that any integrated circuit is defective is 0.01, soWhat is the probability that there is at least one defective integrated circuit?Either there is at least one defective integrated circuit, that is probability, or there are no defective integrated circuits, that is probability. The sum of these probabilities is decimal 1. We want to find.There is a 33.10% probability that there is at least one defective integrated circuit....