Mapping to a random variable


Consider the experiment where you toss two coins and notes outcome (H or T) of each. Which of the following mapping to a random variable X are allowable?

Select all that apply

1. Not enough information to answer the question

2. None of these

3. X(HH) = 0, X(HT) = 1, X(TT) = 2, X(TH) = sqrt(4) where sqrt() is the square root

4. X(HH) = 0, X(HT) = -1, X(TT) = -2, X(TH) = -3

5. X(HH) = 0, X(HT) = 1, X(TT) = 2, X(TH) = 3

6. X(HH) = 0, X(HT) = 0, X(TT) = 1, X(TH) = 1

7. X(HH) = 0, X(HT) = 2, X(TH) = 3

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Basic Statistics: Mapping to a random variable
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