Three machines produce 60%, 30%, 10% of items with defect rates 2%, 3%, 4%. If an item is defective, probability it came from the third machine is: MCQ with Answer and Explanation

Question

Three machines produce 60%, 30%, 10% of items with defect rates 2%, 3%, 4%. If an item is defective, probability it came from the third machine is:

A. 0.10

B. 0.16

C. 0.04

D. 0.25

Answer: Option B

Solution (By JKSSB Mock Tests)

P(D) = 0.6×0.02 + 0.3×0.03 + 0.1×0.04 = 0.012+0.009+0.004=0.025. P(M3|D) = 0.004/0.025 = 0.16.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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In the theory of attributes, the consistency condition (AB) ≥ 0 is an example of:

A. Independence condition

B. Axiom of probability

C. Ultimate class frequency condition

D. Association condition

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Correct Answer: Option C

Explanation:
All ultimate class frequencies must be non-negative.

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Question #2

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The sex ratio at birth biologically is approximately:

A. 95 males per 100 females

B. 110 males per 100 females

C. 105 males per 100 females

D. 100 males per 100 females

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Correct Answer: Option C

Explanation:
Naturally, around 105 male births occur for every 100 female births.

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Question #3

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If the mean of 10 numbers is 15, and one number is removed making the new mean 14, the removed number is:

A. 15

B. 14

C. 24

D. 20

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Correct Answer: Option C

Explanation:
Sum initially 150, after removal sum=9×14=126, removed = 150-126=24.

This question belongs to: Accountancy and Statistics Statistics

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