(a) Derive the mode of Binomial distribution. (b) Show that for $p =…

Previous year question for Engineering Mathematics-III.

Question

(a) Derive the mode of Binomial distribution.

(b) Show that for $p = \frac{1}{2}$, the binomial distribution has a maximum probability at $x = \frac{n}{2}$, if $n$ is even and at $x = \frac{n + 1}{2}$, if $n$ is odd.

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