Poisson Distribution

Question 1

What is the Poisson ?
Po (λ)

Answer 1

how many events occur within some period of time, given the average rate of which they occur (λ)

Question 2

what is the formula for poisson distribution?

Answer 2

Question 3

how does poisson distribution arise from binomial?

Answer 3

Question 4

Using / manipulating poisson

Answer 4

Question 5

Working backwards

Answer 5

USE CALCULATOR

Question 6

what are the conditions required for an event to be distributed via poisson

?

Answer 6

1. randomly occuring events
2. independant events
3. average rate given

RIA

Question 7

what is the scaling property of poisson?

Answer 7

the average rate (λ) can be scaled to a different time period/length
* if λ= 0.5 per 10cm
* per 100cm λ= 5

Question 8

Are these following events poisson or not poisson ?

Answer 8

Question 9

Answer 9

Question 10

what is the additive property of poisson?

Answer 10

Question 11

Answer 11

Question 12

what is the mean and variance of poisson?

Answer 12

E (x) = Var (x) = λ

Question 13

Answer 13

Question 14

How could you approximate a binomial using a poisson?

Answer 14

Question 15

why is binominal approxiamted to poisson?

Answer 15

as n becomes large , calaculating n! can be very large

Question 16

if np is not less than 5, how can we use complimentary distribution?

Answer 16

count the number of failures rather than successes

Question 17

Answer 17

Question 18

Answer 18

Question 19

Answer 19

You can’t just name a distribution, you must state the whole thing

Question 20

Answer 20