An economics class has a total of 20 students with the following age distribution:

Two students are to be selected randomly, without replacement, from the class to give a team report on the state of the economy. Define a random variable whose outcome represents the average age of the two students selected. Also, define a discrete PDF for the random variable. Finally, what is the probability space for this experiment?

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# of students 10 4 4 1 1 age 19 20 21 24 29