The following is a Poisson probability distribution with µ = 0.2. x P(x)0 0.90421 0.08902 0.00603 0.0008The variance of the distribution is ______.

1. ### Break Down the Problem

To find the variance of a Poisson distribution, we need to understand that for a Poisson distribution, the variance is equal to the mean $\mu$.

2. ### Relevant Concepts

For a Poisson distribution:

• Mean $\mu$
• Variance $\sigma^2 = \mu$

Given $\mu = 0.2$.

3. ### Analysis and Detail

Since the variance and mean are equal in a Poisson distribution:

• Variance $\sigma^2 = 0.2$

4. ### Verify and Summarize

The calculations confirm that for a Poisson distribution, the variance is indeed equal to the mean. Therefore, the variance of the distribution is 0.2.

Final Answer

The variance of the distribution is $0.2$.