Normal approximations

Question 1

What is continuity correction?

Answer 1

When approximating a discrete distribution with a continuous distribution, it is the adding or subtracting of 0.5

Question 2

When and how can a random variable X∼B(n,p) be approximated by a normal distribution?

Answer 2

When n is large and p is close to 0.5, then X≈∼N(np,np(1-p))

Question 3

When and how can a random variable X∼Po(λ) be approximated by a normal distribution?

Answer 3

When λ is large, then X≈∼N(λ,λ)