Question 64

An article manufactured by a company consists of two parts: Part I and Part II. In the process of manufacturing of Part I, 9 products out of 100 are likely to be defective. Similarly, 5 products out of 100 are likely to be defective in the manufacture of Part II. What is the probability that the final assembled article will NOT be defective?

Solution

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Probability to be defective for part I = $$\dfrac{9}{100}$$

Probability to be defective for part II = $$\dfrac{5}{100}$$

Final assembled problem will not be defective if both Part I and Part II are not defective.

Probability = $$\dfrac{91}{100}\times\ \dfrac{95}{100}$$ = 0.8645

Answer is option B.

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