Question
If X follows a binomial distribution with parameter $\text{n}=100$ and $\text{p}=\frac{1}{3},$ then P(X = r) is maximum when r =
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$I$. $A(t) < 0$ for all $t$.
$II$. $A(t)$ has infinitely many critical points.
$III.$ $A(t)=0$ for infinitely many $t$.
$IV$. $A^{\prime}(t) < 0$ for all $t$.