POISON Flashcards
(17 cards)
1
Q
parameters of poison
A
2
Q
poisson condition
A
events occur singly
randomly
independently
at a constant average rate
3
Q
P(X=x)
A
4
Q
E(X)=
A
V(X)=λ
5
Q
when λ is a whole number
A
mode is λ and λ-1
6
Q
when λ is not a whole number
A
mode is whole number below λ
7
Q
if λ=8
A
mode =8,7
8
Q
if λ=3.8
A
mode=3
9
Q
if X-Po(λ) and Y-Po(λ)
A
X+Y-Po(λ+λ)
10
Q
do we need continuity correction in binomial to poisson approvimation
A
No
11
Q
when do we convert binomial to poisson
A
n>50
p<0.1
np<5
12
Q
do we need continuity correction in POISON to NORMAL approvimatioN
A
yes +-.5
13
Q
when do we convert poisson to normal
A
λ>15
14
Q
<
A
upper bound
15
Q
>
A
lower bound
16
Q
A
E(x)=np
Var(X)=np(1-p)
1-p so p should be close to 1
17
Q
A
E(x)=np=-
Var(X)=npq= something similar
almost equal
