I am confused about identifying random variables.
For instance, I have question that says "You roll a die until you roll a 6 a total of four times, and you record the resulting sequence. Which of the following are random variables on the sample space? 1. The number of rolls required for the experiment. 2. The sequence resulting from the experiment 3. The time it takes to complete the experiment 4. The number of times a 5 is rolled
SO, the sample space is the sequence of rolls. So for example, one item in the sample space could potentially be (1,3,4,6,6,5,5,6,4,6) while another item could be (5,5,5,3,2,6,6,4,1,2,1,6,5,4,3,6) Basically just an infinite number of sequences. Since RV are supposed to map to the sample space, and the sample space is a sequence, I think that #1 and #3 are not random variables,but that #2 and #4 are random variables. My friend disagrees. Any thoughts? I know that #1 sounds like a random variable but I feel like it is a trick because it doesn't map to our space.