Question:
The mean of a binomial distribution is 25, then its standard deviation lies in the interval
The mean of a binomial distribution is 25, then its standard deviation lies in the interval
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For a binomial distribution, the standard deviation can be computed using the formula \( \sigma = \sqrt{np(1-p)} \).
Updated On: Jan 12, 2026
- (0,5)
- (0,25)
- (0,0.25)
- (0,5)
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The Correct Option is B
Solution and Explanation
The standard deviation \( \sigma \) for a binomial distribution is given by \( \sigma = \sqrt{np(1 - p)} \). Substituting the values and solving the inequality for the standard deviation gives the required interval.
Step 2: Conclusion.
The correct answer is (B), (0, 25).
Step 2: Conclusion.
The correct answer is (B), (0, 25).
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