Poisson

IAL S2 Poisson Distribution

Discrete Probability Distribution
"How many events occur within some period of time, given an average rate λ (“lambda”) of occurence."

Multiple Choice

The Binomial distribution can be defined as:

"The number of “successes” out of n independent trials, each with a probability p of success"

• True

• False

Multiple Choice

In a random sample of 100 people, the probability of studying Maths is 0.3. What is the probability of 18 people studying Maths?

• Binomial

• Poisson

• Neither

Multiple Choice

An instagram account receives 5 likes every 10 minutes. What is the probability of receiving 20 likes in an hour?

• Binomial

• Poisson

• Neither

Multiple Choice

A volcano erupts every 1000 years, and we’re interested in the probability of at least one eruption next year.

• Binomial

• Poisson

• Neither

Page 20 in your Formula Booklet! :)

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Open Ended

A website receives hits at a rate of 300 per hour.

State two reasons why a Poisson Distribution model can be used.

Multiple Select

Select which Binomial Distributions can be approximated with Poisson

• $$X\sim B\left(100,\ 0.1\right)$$  

• $$X\sim B\left(50,\ 0.5\right)$$  

• $$X\sim B\left(40,\ 0.02\right)$$  

• $$X\sim B\left(300,\ 0.2\right)$$  

Multiple Choice

Poisson Formula: P(X=x)

Multiple Choice

X is Poisson Distribution. Mean & Variance formula

Multiple Choice

Poisson is a __________ probability distribution

• random

• discrete

• continuous