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
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Question #1
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Bayes' theorem is expressed as P(A|B) = [P(B|A) × P(A)] / P(B). Here, P(A) is called the:
Correct Answer: Option C
Explanation:
In Bayesian inference, P(A) is the prior probability, representing initial belief about hypothesis A before observing evidence B; P(A|B) is the updated posterior probability.
In Bayesian inference, P(A) is the prior probability, representing initial belief about hypothesis A before observing evidence B; P(A|B) is the updated posterior probability.
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Accountancy and Statistics
Statistics
Question #2
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Two dice are rolled. The probability of getting a doublet is:
Correct Answer: Option B
Explanation:
Doublets are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6). Total 6 outcomes out of 36. Prob = 6/36 = 1/6.
Doublets are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6). Total 6 outcomes out of 36. Prob = 6/36 = 1/6.
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Accountancy and Statistics
Statistics
Question #3
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In a frequency distribution, if the mean is 50, median is 48, and mode is 45, the distribution is likely:
Correct Answer: Option A
Explanation:
In a positively skewed distribution, mean > median > mode due to the pull of extreme high values; here, 50 > 48 > 45 aligns with this pattern, indicating right-skewness.
In a positively skewed distribution, mean > median > mode due to the pull of extreme high values; here, 50 > 48 > 45 aligns with this pattern, indicating right-skewness.
This question belongs to:
Accountancy and Statistics
Statistics
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