Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
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?
 2 years ago
 2 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?
 2 years ago
 2 years ago

This Question is Closed

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

xEnOnnBest ResponseYou've already chosen the best response.0
thanks..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.
 2 years ago

REMAINDERBest ResponseYou've already chosen the best response.1
the probability of geting is 1/8
 2 years ago

xEnOnnBest ResponseYou've already chosen the best response.0
Like, 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)?
 2 years ago

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

xEnOnnBest ResponseYou've already chosen the best response.0
Really? 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.
 2 years ago

REMAINDERBest ResponseYou've already chosen the best response.1
omega 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
 2 years ago

xEnOnnBest ResponseYou've already chosen the best response.0
ahh.. I see...Thank you so much!! :)
 2 years ago
See more questions >>>
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.