Question
If $X$ has Poisson distribution with parameter $m$, such that
$\frac{P(X=x+1)}{P(X=x)}=\frac{m}{x+1}$
find probabilities $P(X=1)$ and $P(X=2)$, when $X$ follows Poisson distribution with $m =2$ and $P ( X =0)=0.1353$.

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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

Evaluate $\int_1^{ e } \frac{1}{x(1+\log x)^2} d x$
Find $\frac{d y}{d x}$ if, :
$
y=x^x+a^x
$
Given the following information about the production and demand of a commodity obtain the two regression lines:
  PRODUCTION (X)DEMAND (Y)
MEN 85 90
S.D. 5 6
Coefficient of correlation between X and Y is 0.6. Also estimate the problem when demand is 100.
If $y=\left(6 x^3-3 x^2-9 x\right)^{10}$, find $\frac{d y}{d x}$
Manufacture produces bulbs and tubes. Each of these must be processed through two machines $M _1$ and $M _2 . A$ package of bulbs requires $1$ hour of work on machine $M_1$ and $3$ hours of work on $M_2$. A package of tubes requires $2$ hours on machine $M _1$ and 4 hours on machine $M _2$. He earns a profit of $₹ 13.5$ per package of bulbs and $₹ 55$ per package of tubes. Formulate the LPP to maximize the profit. He operates $M_1$ for at most $10$ hours and $M_2$ for at mos $12$ hours a day.
A die is thrown 4 times. If ‘getting an odd number’ is a success, find the probability of (i) 2 successes (ii) at least 3 successes (iii) at most 2 successes.
Find $k$, if $A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right]$ and $A^2=k A-21$, where $I$ is identity matrix of order $2$
If $x = t$. logt, $y = t ^{ t }$, then show that $\frac{ d y}{ d x}= t ^{ t }$
Evalute : $\int \frac{x}{4 x^4-20 x^2-3} d x$
A computer installation has 3 terminals. The probability that anyone terminal requires attention during a week is 0.1, independent of other terminals. Find the probabilities that (i) 0 (ii) 1 terminal requires attention during a week.