I'm stuck on this 3 part question: Please walk me through how to do these. Thank you!

"Suppose you decide to flip a coinuntilyou get a heads (H), at which point you will stop flipping the coin. However, you will flip at most three times, even if you never get a heads.

Let the random variableX be the number of times you flip the coin.

What is the sample space S in this case? In other words, what are all the possible outcomes in this case?

Write down the value of the random variable XX that is associated with each outcome.

For H, X=

For TH, X= For TTH, X=

For TTT, X=

Using what you found in the question above, summarize the probability distribution of X in a table in your notes. The table's top row should be values of the random variable, XX. The second row should be the appropriate probabilities. When you are done, write a summary of what your table looks like below. Be sure to compare your table with the answer given before you move on."