A community for students.
Here's the question you clicked on:
 0 viewing
xEnOnn
 4 years ago
Suppose I flip a coin 3 times, let the Sample Space \[\Omega =\{ H,T\} \]
And \[\omega \in \Omega \]
Define a random variable of X to be the number of heads such that \[X\in \{ 0,1,2,3\} \]
Now, when I say this:
\[P(X=3)\]
I believe it means that I want to know the probability of getting 3 heads in all the flips.
Second, then when I say this: \[X(\omega )\], what does this mean? What am I trying to find? For example: \[X(3)\]
Is \[X(3)=P(X=3)\] ? Are they the same?
xEnOnn
 4 years ago
Suppose I flip a coin 3 times, let the Sample Space \[\Omega =\{ H,T\} \] And \[\omega \in \Omega \] Define a random variable of X to be the number of heads such that \[X\in \{ 0,1,2,3\} \] Now, when I say this: \[P(X=3)\] I believe it means that I want to know the probability of getting 3 heads in all the flips. Second, then when I say this: \[X(\omega )\], what does this mean? What am I trying to find? For example: \[X(3)\] Is \[X(3)=P(X=3)\] ? Are they the same?

This Question is Closed

REMAINDER
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1329058306810:dw use this it may help 'cos ur question it not that clear

xEnOnn
 4 years ago
Best ResponseYou've already chosen the best response.0thanks..maybe I should try phrasing my question again. I have a random variable X. Often, I see the random variable used this way: P(X=3) to denote that I want to find the probability of the event. In this case, the probability of getting 3 heads in all the flips. However, I have also seen the random variable X used this way: X(w). What is the meaning of this using it as X(w)? The random variable X somehow becomes a function and I don't understand what function is it representing.

REMAINDER
 4 years ago
Best ResponseYou've already chosen the best response.1the probability of geting is 1/8

xEnOnn
 4 years ago
Best ResponseYou've already chosen the best response.0Like, what is the meaning when a random variable is used in the notation as X(3) for instance. Is X(3) the same as P(X=3)?

REMAINDER
 4 years ago
Best ResponseYou've already chosen the best response.1omega means the number of the events yes they mean p(x=3)

xEnOnn
 4 years ago
Best ResponseYou've already chosen the best response.0Really? But sometimes the usage doesn't seem like this. For example, it could be used like: \[X(\omega )=x\] Which in this case, it doesn't look like it mean p(x=w) because X can't even take w because w is in the sample space whereas X is in some other space that I don't know what it is but it definitely isn't the sample space.

REMAINDER
 4 years ago
Best ResponseYou've already chosen the best response.1omega in ur rquestion u've rep it lie [x=H,T],THIS IMPLIES THAT the number of heads and tails r assigned to to it for example if the number of heads is equal to 4 and tails 4 it means ur sample space=[omega=hhh,hht,tht.htt,thh,tht,tth,tttthen they can say to u wat is prob of getting 2 heads at the flip this X refers to the number of heads u suppose to find

xEnOnn
 4 years ago
Best ResponseYou've already chosen the best response.0ahh.. I see...Thank you so much!! :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.