Poisson's Distribution

If $6$ is the mean of a Poisson distribution, then $P\left(X\ge 3\right)=$

If $S$ is a Poisson variate such that $P\left(x=1\right)=0.7,P\left(x=2\right)=0.3$, then $P\left(x=0\right)$______.

If the parameter of poisson distribution is m and $\left(\mathrm{mean}+\mathrm{S}.\mathrm{D}.=\frac{6}{25}\right)$ then find $m$.

Which one of the following has Poisson distribution?

Which of the following is uni-parametric distribution?

Let $X$ be a Poisson random variable with a parameter $\lambda .$ Then the probability that $X$ is odd is: 

In poisson distribution which of the following is same?

The number of orders placed at an online store is $4500$ per hour. Find the probability of one order occurring per second, if the number of orders placed can be modelled as a Poisson distribution.

If ${\mathrm{H}}_0$ is true but ${\mathrm{H}}_1$ is accepted then it is

A renowned hospital usually admits $200$ patients every day. One per cent patients, on an average, require special room facilities. On one particular morning, it was found that only one special room is available. What is the probability that more than $3$ patients would require special room facilities?

A random variable $x$ follows Poisson distribution and its coefficient of variation is $50$ . What is the value of $P(x>1 / x>0)$ ?

Poisson distribution is

Which one is not a condition of Poisson model?

$\_\_\_\_\_$distribution is sometimes known as the "distribution of rare events".

Number of radio-active atoms decaying in a given interval of time is an example of

Poisson distribution approaches a Normal distribution as $n$

In Poisson distribution mean is equal to

If the mean of a Poisson distribution is $\frac{1}{3},$ then the ratio $P(X=1): P(X=2)$ is

If $X$ is a poisson variate such that $P(X=2)=P(X=3),$ then $e^3·P(X=4)$ is

If $X$ is a poisson variable such that $3P(X=4)=\frac{1}{2}P(X=2)+P(X=0)$ then the mean of $X$ is ________