Question

The mean of a binomial distribution is 25, then its standard deviation lies in the interval

• A. (0,5)
• B. (0,25)
• C. (0,0.25)
• D. (0,5)

Hint:

For a binomial distribution, the standard deviation can be computed using the formula \( \sigma = \sqrt{np(1-p)} \).

Answer 1

The Correct Option is B

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).