How can we find mean and variance in possion distribution where lambda itself is variable. I am new to probability distribution. As far as i know, mean and variance of possion distribution is always lambda. but in case Lambda itself is a random variable, how can we tackle this.
I have this problem : On any day, the number of accidents on the highway has a Poisson distribution with parameter Λ. The parameter Λ varies from day to day and is itself a random variable. Find the mean and variance of the number of accidents per day when Λ is uniformly distributed on (0, 3).