All language subtitles for 003 Characteristics of Discrete Distributions_en

Instructor: Welcome back, in this video,

we will talk about discreet distributions

and their characteristics, let's get started.

Earlier in the course, we mentioned

that events with discrete distributions

have finitely many distinct outcomes.

Therefore, we can express

the entire probability distribution

with either a table, a graph, or a formula.

To do so, we need to ensure that every unique outcome

has a probability assigned to it.

Imagine you are playing darts.

Each distinct outcome has some probability assigned

to it based on how big its associated interval is.

Since we have finitely many possible outcomes

we are dealing with a discreet distribution.

Great, in probability, we are often more interested

in the likelihood of an interval than an individual value.

With discreet distributions, we can simply add up

the probabilities for all the values

that fall within that range.

Recall the example where we drew a card 20 times.

Suppose we wanna know the probability

of drawing three spades or fewer?

We would first calculate the probability

of getting zero, one, two, or three spades,

and then add them up to find the probability

of drawing three spades or fewer.

One peculiarity of discrete events

is that the probability of Y being less than

or equal to y equals the probability

of y being less than y plus 1.

In our last example, that would mean getting three spades

or fewer is the same as getting fewer than four spades.

All right now, that you have an idea

about discreet distributions we can start exploring

each type in more detail.

In the next video, we are going to examine

the uniform distribution, thanks for watching.