Question

Can someone please help me figure out this problem? I don't have a clue and I really need some help. Thanks!

Using the following sample space:
{(H,H,H), (H,H,T), (H,T,H), (T,H,H), (H,T,T), (T,H,T) (T,H,H), (T,T,T)}
define the random variable for flipping an outcome with a tails.

X=0, 1, 2, 3
X = 0, 1, 2, 3, 4
X = 7
X = 0, 1

I believe the H and T's are referring to heads and tails on a quarter.

Answer 1

I would think x = 0, 1 since there is a 50% chance of the coin landing on head and tails

Answer 2

Our job is to define / explain just what the random variable, X, represents.

As I see this, the random variable, X, is a count of how many T (tails) show up in each of the outcomes listed in the sample space. For example, in (T H H), T shows up once, so X would have the value 1. Look at the eight possible outcomes. You'll see that one of these contains no T, whereas one of these contains three Ts. Wouldn't that indicate that X is a set consisting of the possible counts of how many Ts show up in each outcome?

Answer 3

Oh yeah. I see what your saying. So x = 1? I still don't understand everything though.

Answer 4

You still here @mathmale?

Answer 5

You are to come up with a set that contains the possible values that X can have. 1 is one of those values, but there are 3 other values that X can take on . What are they?

Answer 6

Oh, I see. It is 0, 1, 2, 3?

Answer 7

Are you there @mathmale?

Answer 8

hey @jim_thompson5910 can you help see if I got the answer to this problem right? Mathmale went somewhere else without saying weather I got it right or wrong?

Answer 9

You cam back mathmale! Thanks! Did i get it right?

Answer 10

@Becca, I'm sorry I didn't stick around. I';m helping others as well. At some time or other, we all need to develop skill and confidence in our own ability to check our own answers.
This time I'm happy to confirm that your answer is just fine. You have listed all of the values that the random variable X can have.

Answer 11

Thank you so much. I am at the very end of my geometry/algebra course and I will be taking the final for it on Monday. I wanted to make sure my answers were correct just in case there is a similar one on the test. So, with that being said it will only be today and tomorrow that I will be needing help. I won't be bothering you after this. Thanks for all your help.

Answer 12

The minimum number of times that T shows up is zero; the max is 3. Thus,
X can have the values 0, 1, 2 and 3.

Answer 13

Rest assured that I don't feel "bothered" by your asking questions. I'm always glad to be of help (especially when others acknowledge it, as you have).

Answer 14

I am so glad you like to help! You are awesome! Thanks again!!

Answer 15

:)