The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.
Probability P [X]
Probability for a discrete random variable. The probability that X takes on the value x, P(X=x), is defined as the sum of the probabilities of all sample points in that are assigned the value x.
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Value of the random Variable x:
The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.
Probability P [X]
Probability for a discrete random variable. The probability that X takes on the value x, P(X=x), is defined as the sum of the probabilities of all sample points in that are assigned the value x.