Q. If $X$ follows a binomial distribution with parameters $n = 100\ and\ P = \frac{1}{3}$, then $P(X = r)$ is maximum when $r$ is equal to
A) 16
B) 32
C) 33
D) None of these
Explanation
(c)
Since, $n(n + 1)P = \frac{101}{3}$ is not an integer
Therefore, $P(X = r)$is maximum when $r = \left\lbrack \frac{101}{3} \right\rbrack = 33$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.