Probability Distribution

the second type of distribution that we're going to talk about is

the nominal distribution.

His definition is the probability distribution

associated with the discrete random bearable.

It's called a phenomenal probability distribution.

And we will introduce this kind of distribution to you by two perspectives.

The first one is his properties and then we will introduce the property

function and use one marketing related example to give it a practice.

And there are four points about the problem

practice of phenomenal distribution.

The first one there should be an identical trials.

Then the two outcomes are possible on a trail. For example, success or failure,

the property of a success or failure

does not change

the final is the trials are independent.

Um If you need to remember this for private properties of phenomenal distribution,

the simplest example is coin tossing

when they come see the phenomenal privacy function which is shown below

um where PX echoes to the probability of x successes and trials

and and pursue the number of trials

and pie. It can sue. The probability of a success on anyone trial,

then y minus pi. It comes to the probability of failure

of anyone trial.

Then let's use the example of marine closing store to um practice this function.

Let's consider the purchase decisions of the next

three customers who entered the marine clothing store.

On the basis of past experience.

The store manager estimates the probability that any

one customer will make a purchase is 3.3.

So the pie should be equal to 3.3 other situation.

So the problem is what is the property that two

of the next three customers will make a purchase?

So obviously in this situation, the total trails through the three

and the success trials tribute to

And uh hi echoes to 2.3. So put this number into the function.

We can calculate

the probability that two of the next three customers making the purchase

Is .189.

Similarly,

we can calculate um zero or one or three of the next three cosmos making the purchase

and adding this for province. Together we get the total property.

It goes to one.

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