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If X ~ N(50, 25), the value of 'σ' is
A25
B5
C50
D625
Answer & Solution
Correct answer: B. 5
1. The notation N(μ, σ²) means mean 50 and variance 25.
2. Standard deviation σ = √25 = 5.
3. If textbook uses N(μ, σ) form, σ would be 25; the standard convention is variance.
4. Hence σ = 5 under the variance convention.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 8 "Probability Distributions", §8.3 ¶§8.3_
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