A fair dice is thrown once. The random variable X is related to the number N thrown on the dice as follows. If N is even, then X is half N ; otherwise X is double N. Tabulate the probability distribution of X.
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What value of X do you get for each value of N? So what are the possible values of X? What values of N give those values? What are the probabilitities for those values of N?
Think about those questions and then join the dots.
If you need more help please post what you've done and say where you get stuck.