A quality control inspector is inspecting newly produced parts that have 1/4 pro

Question

A quality control inspector is inspecting newly produced parts that have 1/4 probability of being defective. She randomly pulls 3 parts out of a bin holding 36 parts without replacement. What is the probability that all three parts are defective? a. 0.25 b. 0.0082 c. 0.0053 d. 0.0118 Your Company owns a fleet of automobiles that employees use to travel. The probability that a car needs an oil change is 30. The probability that an automobile being filled with gasoline also needs an oil change is 0.20: and the probability that both the oil and the filter need changing is 0.15. What is the probability that a new oil filter is needed given that the automobiles' oil is being changed? 0.50 0.15 0.45 0.33

Explanation / Answer

2. expected number of defective parts in bin = 36 x 1/4 = 9

So, probability that 3 parts selected are defective = 9C3 / 36C3 = 0.0118 (d)

3. P(new oil filter is needed | automibiles' oil is beng changed)

= P(new oil filter is needed and Oil is being changed) / P(oil is being changed)

= 0.15 / 0.3

= 0.5

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