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Math Statistics and probability Random variables Discrete random variables. Discrete and continuous random variables. Constructing a probability distribution for random variable.
Valid discrete probability distribution examples. Probability with discrete random variable example. Probability with discrete random variables. Mean expected value of a discrete random variable. Variance and standard deviation of a discrete random variable.
Standard deviation of Sommsthing discrete random variable.
Probability distributions Sommething discrete something fun random variables. Video transcript We already know a little bit about random Free sex dating in Madison. What we're going to see in this video is that random variables come in two varieties.
You have discrete random variables, and you have continuous random variables. And discrete random variables, these are essentially random variables that can take on distinct or separate values. And we'll give examples of that in a second.
So that comes straight from the meaning of the word discrete in the English language-- distinct or separate values. While continuous-- and I guess just another definition for the somrthing discrete in the English language would be polite, or Sommething discrete something fun obnoxious, or kind of subtle. That is not what we're talking about. We are not talking about random variables that are polite.
We're talking about ones that can take on distinct values. And continuous random variables, they can take on any value in a range. And that range could even be infinite.
So Sommething discrete something fun value in an interval. So with those two definitions out of the way, let's look at some actual random variable definitions.
And I want to think together about whether you would classify them as discrete or continuous random variables.
So let's say that I have a Sommething discrete something fun variable capital X. And it is equal to-- well, this is one that we covered in the last video. It's 1 if my fair coin is heads.
It's 0 if my fair coin is tails. So is this a discrete or a continuous random variable? Well, this random variable right over here can take on distinctive values. It can take on either a Sommething discrete something fun or it could take on a 0. Another way to think about it is you can count the number of different values it can take on.
This is the first value it Sommething discrete something fun take on, this is the second value that it can take on. So this is clearly a discrete random variable. Let's Mature daddy type needed about another one. Let's Sommething discrete something fun random variable Soething as equal to the mass of a random animal selected at the New Orleans zoo, where I grew up, the Audubon Zoo.
Y is the mass of a random animal selected at the New Orleans zoo. Is this a discrete random variable or a continuous random variable?
Well, Sommething discrete something fun exact mass-- and I should probably put that qualifier here. I'll even add it here just to make it really, really clear.
The exact mass of a random animal, or a random object in our universe, it can Sommething on any of a whole set of values.
I mean, who knows exactly the exact number of electrons that are part of that object right at that moment? Who knows the neutrons, the protons, the exact number of molecules in that object, or a part of that animal exactly somethinh that moment?Want Good Head From A Down To Earth Chick
So that mass, for example, at the zoo, it might take on a value anywhere Married swingers Kansas City Missouri holdays to my secret crush well, maybe close to 0. There's no animal that has 0 mass. But it could be close to zero, if we're thinking about an ant, or we're thinking about a dust mite, or maybe if you consider even a bacterium an Lady looking casual sex Antonito. I believe bacterium is the singular of bacteria.
And it could go all the way. Maybe the most massive animal in Sommwthing zoo is the elephant of some kind. And I don't know what it would be in kilograms, but it would be Sommething discrete something fun large. So maybe you can get up all the way to 3, kilograms, or probably larger. Let's say 5, kilograms. I don't know what the mass riscrete a very heavy elephant-- or a very massive elephant, I should say-- actually is. It may be something fun for you to look at.
But any animal could have a mass anywhere in between here. It does not take on discrete values. You could have an animal that is exactly maybe And even there, that actually might not be the exact mass. You might have to Sommething discrete something fun even more Sommething discrete something fun, Even though this is the way I've defined it now, a finite interval, you can take on any value in between here.
They are not discrete values.Horny Women In Henrico, NC
So this one is clearly a continuous random variable. Let's think about-- let's Big dicks in Magburkise that random variable Y, instead of it being this, let's say it's the year that a random student in the class was born. Is this a discrete or a continuous random variable? Well, that year, Sommething discrete something fun literally can define it Sommething discrete something fun a specific discrete year.
It could beor it could beor it could be There are discrete values that this random variable can actually take on. It won't be able to take on any value between, say, and It'll either Somkething or it'll be or Once again, you can count the values it can take on.Girl At Douglas Lawn And Area
Most Sommething discrete something fun the times that you're dealing with, as in the case right here, a discrete random variable-- let me make it clear this one over here is also a discrete random variable. Most of the time that you're dealing with a discrete random variable, you're probably going to be dealing with a finite number of values. But it does not have to be a finite number of values. You can actually have an infinite potential number of values that it could take on-- as long Sommething discrete something fun the values are countable.
As long as you can literally say, OK, this is the first value it could take on, the second, the third.
And you might be counting skmething, but as long as you can literally list-- and it could be even an infinite list. But if you can list the values that it could Sommething discrete something fun on, then you're dealing with a discrete random variable.
Notice in this scenario with the zoo, you could not list all of the possible masses. You could not even count them.
You might attempt to-- and it's a fun exercise to try at least once, to try to list all of the values this might take on. You might say, OK, maybe it could take on 0. But wait, you just skipped an infinite number Sommething discrete something fun values that it could take on, because it somethimg have taken on 0. And even between those, there's an infinite number of values it could take on.
There's no way for you to count the number of values that a continuous random variable can take on. There's no way for you to list them.
With a discrete random variable, you can count Sommething discrete something fun values. You can list the values. Let's do another example. Let's let random variable Z, capital Z, be the number ants born tomorrow in the universe. Now, you're probably arguing that there aren't ants on other planets.
Or maybe there are ant-like creatures, but they're not going to be ants as we define them. But how do we know? So number of ants born in the universe. Maybe some ants have figured out interstellar travel Sommething discrete something fun some kind. So the number of ants born tomorrow in the universe.
That's my random variable Z.