MCQ
Mark the correct alternative in the following question : Suppose a random variable $X$ follows the binomial distribution with parameters $n$ and $p,$ where $0 < p < 1$. If $\frac{\text{P(X = r})}{\text{P(X = n} -\text{r})}$ is independent of $n$ and $r,$ then $p$ equals:
  • $\frac{1}{2}$
  • B
    $\frac{1}{3}$
  • C
    $\frac{1}{5}$
  • D
    $\frac{1}{7}$

Answer

Correct option: A.
$\frac{1}{2}$
$\frac{1}{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Let $f(x)=\left\{\begin{array}{ll}x^2\left|\cos \frac{\pi}{x}\right|, & x \neq 0 \\ 0, & x=0\end{array}, x \in I R\right.$, then $f$ is
The derivative of $\text{f(x)}=\int\limits^{\text{x}^3}_{\text{x}^2}\frac{1}{\log_{\text{e}}\text{t}}\text{ dt},(\text{x}>0),$ is:
If $\text{A}=\begin{bmatrix}1&\text{a}\\0&1\end{bmatrix},$ then $A^n\ ($where $n \in N$) equals :
If the sum of the matrices $\begin{bmatrix}\text{x}\\\text{x}\\\text{y}\end{bmatrix},\begin{bmatrix}\text{x}\\\text{y}\\\text{z}\end{bmatrix}$ and $\begin{bmatrix}\text{z}\\0\\0\end{bmatrix}$ is the matrix $\begin{bmatrix}10\\5\\5\end{bmatrix},$ then what is the value of $y ?$
In the interval $[0, 1]$ , the function ${x^2} - x + 1$ is
A bag $X$ contains $2$ white and $3$ black balls and another bag $Y$ contains $4$ white and $2$ black balls. One bag is selected at random and a ball is drawn from it. Then, the probability chosen to be white is,
The angle between the lines $\frac{\text{x}-1}{1}=\frac{\text{y}-1}{1}=\frac{\text{z}-1}{2}$ and $\frac{\text{x}-1}{-\sqrt{3}-1}=\frac{\text{y}-1}{\sqrt{3}-1}=\frac{\text{z}-1}{4}$ is:
If $\vec{a}=\frac{1}{\sqrt{10}}(3 \hat{i}+\hat{k})$ and $\vec b = \frac{1}{7}\left( {2 \hat{i} + 3 \hat{j} - 6 \hat{k}} \right)$,then the value of  $\left( {2\vec a - \vec b} \right)\cdot\left[ {\left( {\vec a \times \vec b} \right) \times \left( {\vec a + 2\vec b} \right)} \right]$ is
Maximize Z = 3x + 5y, subject to constraints: $\text{x}+4\text{y}\leq24,3\text{x}+\text{y}\leq21,\text{x}+\text{y}\geq9,\text{x}\geq0,\text{y}\geq0.$
$a \times (b \times c)$ is coplanar with