S2 Flashcards
1
Q
4 conditions for binomial distribution?
A
Fixed number of trials
Each trial success or failure
Trials are independent
Probability of success is constant
2
Q
When can binomial be approximated by poisson?
A
When n is large and p is small it can be given by a Poisson distribution where λ=np
3
Q
CRV F(m) =
A
0.5
4
Q
CUD F(X) = ?
A
x-a/b-a
5
Q
When can a binomial be approximated by a normal and how?
A
When n is large and p is close to 0.5
Mean = np Var = np(1-p)
6
Q
When can a Poisson distribution be approximated by a normal distribution?
A
When λ is large
Y-N(λ,λ)
7
Q
Binomial E(X) and Var(X)?
A
E(X) = np Var(X) = np(1-p)