Q80 / 160 · AP EAMCET 2022 (06 Jul Shift 2) · Mathematics

When success is not an impossible event, then the mean of Binomial distribution is

  • Correct answer
    A
    always more than its variance
  • B
    always equal to its variance
  • C
    always less than its variance
  • D
    always equal to its standard deviation

Solution

When success is not an impossible event, then $p \neq 0, q \neq 0$. Mean $=n p$ and variance $=n p q$ $$ \begin{aligned} & p, q < 1 \\ & p>p q \\ & n p>n p q \end{aligned} $$ Mean > Variance $\therefore$ Mean is greater than variance.

Hence, the correct answer is option: 'A'.

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