Q223 / 270 · NDA 2020 · Mathematics

Consider a random variable $X$ which follows Binomial distribution with parameters $n=10$ and $p=\frac{1}{5}$. Then $Y=10-X$ follows Binomial distribution with parameters $n$ and $p$ respectively given by

  • A
    $5, \frac{1}{5}$
  • B
    $5, \frac{2}{5}$
  • C
    $10, \frac{3}{5}$
  • Correct answer
    D
    $10, \frac{4}{5}$

Solution

From question $P=\frac{1}{5}$ Now, $P+q=1$ $\Rightarrow \frac{1}{5}+q=1 \Rightarrow q=1-\frac{1}{5}=\frac{4}{5}$ and $n=10$.

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

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