Poisson Distribution

Question 1

Who introduced P.D?

Answer 1

Siméon Denis Poisson (French mathematician, geometer, and physicist)

Question 2

What is P.D?

Answer 2

A discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.

Question 3

Notation

Answer 3

X ~ Po(S)

Question 4

What is Lambda?

Answer 4

Mean of the events occuring.

Question 5

The occurrences of the events must be spread across time and place to satisfy?

Answer 5

i) The event occurs at random points in time.

ii) Two events cannot occur simultaneously in time or space.

Question 6

How many trials does P.D has?

Answer 6

Infinite trials (Don’t know where it stops.)

Question 7

What are the conditions for Poisson Distribution?

Answer 7

• The Random Variable under study should be discrete.
• The Random Variable should be unpredictable. (Can’t predict, but can count.) (Ex; Car Accidents, Earthquakes, Typing error, ect)
• The parameter ‘S’ changes according to different intervals.

Question 8

What are some examples of Poisson Distribution?

Answer 8

Number of ;
- Phone calls (On a randomly chosen day same point in time.)

• Cars passing (In random chosen 5-minute period on a road.)
• Accidents in a factory (During a randomly chosen week.)
• Typing error (On a randomly chosen page of a manuscript.)
• Micro-organisms (In 1ml of pond water.)
• Lift breakdown (in a week.)