Recent questions tagged poisson-distribution

Is lambda (λ) parameter used in Poisson Distribution, Exponential Distribution the same. If say λ = 4 customers per hour, then Expected value, E(possion X) = rate = λ = 4...

Let\[L=\lim _{n \rightarrow \infty} \sum_{k=0}^{n} \frac{e^{-n} n^{k}}{k!}\]Which of the following is the value of ${L}?$$0.5$$1.0$$0$$e^{-1}$

Consider the statements below related to probability distributions:\textbf{(S1):} For a Poisson distribution, the mean and variance are equal.\textbf{(S2):} For a standar...

Consider the random variables $N, H$, and $T$ sampled as follows. First, $N$ is sampled from the Poisson$(10)$ distribution. This means that for each integer $n \geq 0$,\...

An 800 page book has 400 misprints. If the misprints are distributed uniformly throughout the book and the Poisson approximation to the binomial distribution is used to c...

The number of cars $(X)$ arriving at a service station per day follows a Poisson distribution with mean $4$. The service station can provide service to a maximum of $4$ c...

Suppose $X$ and $Y$ are two independent random variables both following Poisson distribution with parameter $\lambda$. What is the value of $E(X-Y)^2$ ?$\lambda$$2 \lambd...

The second moment of a Poisson-distributed random variable is 2. The mean of the variable is ....My question on solving we get 2 values of lamda(ie mean) .One is -2 and t...

In this question if we do simply probability calculation then it is 8/20 40%but when I am appling poisson distribution then it is 40.4%.why we are getting two different a...

If two cards are drawn from a pack of 52 cards, which are diamonds. Using Poissons distribution find the probability of getting two diamonds at least 3 times in 51 consec...

Which of the following statements are FALSE?For poisson distribution, the mean is twice the variance.In queuing theory, if arrivals occur according to poisson distributio...