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. 0.04

B. 0.16

C. 0.25

D. 0.10

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

Request complete Subject PDF

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1

Share Report

Maternal Mortality Ratio (MMR) is expressed as deaths per:

A. 100,000 women

B. 100,000 live births

C. 10,000 live births

D. 1000 live births

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
MMR = (Maternal deaths / Live births) × 100,000.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Share Report

Bayes' theorem is used to compute:

A. Marginal probability only

B. Posterior probability

C. Prior probability

D. Expected value

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
Bayes' theorem updates probabilities after observing evidence, giving posterior probabilities.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Share Report

If a population has a TFR of 2.0 and NRR of 0.9, this implies:

A. The population is at replacement level

B. Fertility is low, mortality is zero

C. Mortality among women of reproductive age is high enough to prevent replacement

D. The population is growing rapidly

View Answer & Solution Discuss

Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
Even though TFR is near replacement, NRR

This question belongs to: Accountancy and Statistics Statistics

Explore All Statistics MCQs