Activity 2: DAVID AND HIS DIE David throws a single die and he let the random variable X be the number on the die. 1 -5. Determine the range space. 6-10. Construct the probability distribution including all the values of X and its corresponding histogram. 11 - 15. What is mean of the distribution? Interpret its value in the context of throwing a die. 16-20. What are the variance and standard deviation? (Use any of the two formulas presented in this lesson and then interpret the computed values.)