Question

На фабрике керамической посуды 30% произведенных тарелок имеют дефект. при контроле качества продукции выявляется 65% дефектных тарелок. остальные тарелки поступают в продажу. найдите вероятность того, что случайно выбранная при покупке тарелка не имеет дефектов. ответ округлите до сотых

Answer 1

Математика? какоц класс напиши жду

Answer 2

Calculation of the Probability

To find the probability that a randomly chosen plate does not have any defects, we need to consider the information provided.

According to the given information: - 30% of the plates produced have defects. - During quality control, 65% of the defective plates are identified. - The remaining plates, which are not identified as defective, are sold.

To calculate the probability that a randomly chosen plate does not have any defects, we can use the following steps:

1. Calculate the probability that a plate has defects: - 30% of the plates have defects.

2. Calculate the probability that a defective plate is identified during quality control: - 65% of the defective plates are identified during quality control.

3. Calculate the probability that a plate is not identified as defective during quality control: - This can be calculated by subtracting the probability of a defective plate being identified from 100%: - 100% - 65% = 35%.

4. Calculate the probability that a plate does not have any defects: - This can be calculated by multiplying the probability that a plate does not have defects by the probability that it is not identified as defective during quality control: - (100% - 30%) * 35% = 70% * 35% = 24.5%.

Therefore, the probability that a randomly chosen plate does not have any defects is approximately 24.5%.

Please note that the answer has been rounded to the nearest hundredth as requested.

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