A discrete random variable that follows the Poisson distribution with a mean equal to 2 has a counterpart continuous random variable that follows the ------- distribution with a mean equal to µ = 1/2.

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The counterpart continuous random variable for a Poisson distribution is the exponential distribution. The mean of the Poisson distribution (λ) is related to the rate parameter (λ) of the exponential distribution, where the mean of the exponential distribution is 1/λ. Given a Poisson mean of 2, the corresponding exponential distribution mean would be 1/2.

A Discrete Random Variable That Follows the Poisson Distribution with a Mean