Question

In a binomial distribution, the mean is 4 and variance is 3. Then its mode is:

• A. 5
• B. 6
• C. 4
• D. None of these

Hint:

For binomial, mode ≈ (n+1)p.

Answer 1

The Correct Option is C

Step 1: Mean np=4, variance npq=3⟹ q=(3)/(4)⟹ p=\frac14.
Step 2: Mode =lfloor (n+1)prfloor=\lfloor5·\frac14rfloor=1 or nearest integer gives 4.