E(X) = λ is used for which distribution?(1 Point)Binomial distributionBernoulli's distributionPoisson's distributionLaplace distribution

Answer

The expression $E(X) = \lambda$ is used for the Poisson distribution.

Explanation

In a Poisson distribution, $\lambda$ represents the average rate (mean) of occurrences in a fixed interval of time or space. The expected value, $E(X)$, of a Poisson random variable $X$ is equal to $\lambda$. Thus, if you encounter this formula, it indicates you are dealing with the Poisson distribution.

Poisson distribution is typically used in scenarios where events occur independently with a known constant mean rate. Examples include the number of emails received in an hour or the number of car accidents at an intersection in a day.

Therefore, the correct answer is Poisson's distribution.