Distribution of the average of a sample of fish.
The number of a rare fish caught per trawl is known to have a Poisson distribution with mean equal to 1.5 fish.
- What is the variance of the number of fish caught per trawl?
- What is the variance of the average number of fish caught per trawl in 30 trawls?
- What is the approximate distribution of the average number of fish caught per trawl in 30 trawls?