Download App

STD 12 - 13. probability — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 13. probability1 Mark
MCQ
If a random variable $X$ follows the Binomial distribution $B (33, p )$ such that $3 P ( X =0)= P ( X =1)$, then the value of $\frac{ P ( X =15)}{ P ( X =18)}-\frac{ P ( X =16)}{ P ( X =17)}$ is equal to
  • ✓
    $1320$
  • B
    $1088$
  • C
    $\frac{120}{1331}$
  • D
    $\frac{1088}{1089}$
✓

Answer

Correct option: A.
$1320$
a
$n =33$, let probability of success is $p$ and $q =1- p$

$3 p ( x =0)= p ( x =1)$

3. ${ }^{33} C _{0}( q )^{33}={ }^{33} C _{1} pq ^{32}$

$p =\frac{1}{12}, q =\frac{11}{12}, \frac{ q }{ p }=11$

$\frac{ p ( x =15)}{ p ( x =18)}-\frac{ p ( x =16)}{ p ( x =17)}$

$\frac{{ }^{33} C_{15} p^{15} q^{18}}{{ }^{33} C_{18} p^{18} q^{15}}-\frac{{ }^{33} C_{16} p^{16} q^{17}}{{ }_{17} P ^{17} q^{16}}=\left(\frac{q}{p}\right)^{3}-\left(\frac{q}{p}\right)$

$=(11)^{3}-11$

$=1320$

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

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 13. probability→STD 12 - 13. probability — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

If $\int\frac{\sin^8\text{x}-\cos^8\text{x}}{1-2\sin^2\text{x}\cos^2\text{x}}\text{ dx}=\text{a}\sin2\text{x}+\text{C},$ then a =
→
If $\sin (xy) + {x \over y} = {x^2} - y,$ then ${{dy} \over {dx}} = $
→
If $\text{A}$ is a square of order $3,$ then $|\text{Adj}(\text{Adj}\text{A}^2)|=$
→
The solution curve of the differential equation $y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x>0, y>0 \text { passing }$ through the point$(\mathrm{e}, 1)$ is
→
If $R =\left\{(x, y): x, y \in Z , x^2+y^2 \leq 4\right\}$ is a relation in Z then domain of R is :
→
The differential equation $\frac{\text{d}^2\text{y}}{\text{dx}^2}+\frac{\text{dy}}{\text{dx}}+\text{y}+\text{x}^2=0$ of the following type:
→
If $y = {x^{({x^x})}}$, then ${{dy} \over {dx}} = $
→
The cartesian equation of a line is given by $\frac{2 x-1}{\sqrt{3}}=\frac{y+2}{2}=\frac{z-3}{3}$The direction cosines of the line is
→
Choose the correct answer from the given four options.The distance of the plane $\vec{\text{r}}\Big(\frac{2}{7}\hat{\text{i}}+\frac{3}{7}\hat{\text{j}}-\frac{6}{7}\hat{\text{k}}\Big)=1$ from the origin is:
→
How much is the area of rectangular field:
→