Answer:
The variance is 2.5.
Step-by-step explanation:
Let X = number of visitors in a museum.
The random variable X has an average of 5 visitors per 2 minutes.
Then in 1 minute the average number of visitors is, [tex]\frac{5}{2} =2.5[/tex]
The random variable X follows a Poisson distribution with parameter λ = 2.5.
The variance of a Poisson distribution is:
[tex]Variance=\lambda[/tex]
The variance of this distribution is:
[tex]V(X)=\lambda=2.5[/tex]
Thus, the variance is 2.5.
