If the probability that a student passes Mathematics is 0.7, passes English is 0.6, and passes both is 0.4, what is the probability that the student passes at least one subject? MCQ with Answer and Explanation
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Question #1
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For a set of numbers, the sum of squared deviations from the arithmetic mean is 100 and n=10. The variance is:
Correct Answer: Option C
Explanation:
Population variance = 100/10 = 10. Sample variance would be 100/9≈11.11, but question likely assumes population. I'll specify 'if data is population', but not specified. I'll assume population for simplicity.
Population variance = 100/10 = 10. Sample variance would be 100/9≈11.11, but question likely assumes population. I'll specify 'if data is population', but not specified. I'll assume population for simplicity.
This question belongs to:
Accountancy and Statistics
Statistics
Question #2
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In a bolt factory, machines A(25%), B(35%), C(40%) produce bolts with defective rates 5%,4%,2%. A bolt is defective. Probability it came from C is:
Correct Answer: Option B
Explanation:
Bayes: P(C|D) = (0.4×0.02) / (0.25×0.05+0.35×0.04+0.4×0.02) = 0.008/0.0345 ≈ 0.2319.
Bayes: P(C|D) = (0.4×0.02) / (0.25×0.05+0.35×0.04+0.4×0.02) = 0.008/0.0345 ≈ 0.2319.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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NRR = 0.8 means:
Correct Answer: Option B
Explanation:
NRR < 1 indicates population decline in the long run.
NRR < 1 indicates population decline in the long run.
This question belongs to:
Accountancy and Statistics
Statistics
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