Answer to Question #124514 in Statistics and Probability for Isaac Boakye

Question #124514
6. Define or state the expected value of a discrete random variable X (E(x) is given as____).
1
Expert's answer
2020-06-30T11:46:27-0400

By definition, a random variable X is called discrete, if it can take only countable number of values. Suppose that X takes values xix_i with probabilities pip_i, i=1+pi=1\sum_{i=1}^{+\infty}p_i=1 . Then its expected value is (see e.g., https://en.wikipedia.org/wiki/Expected_value) E[X]=i=1+xipiE[X]=\sum_{i=1}^{+\infty}x_ip_i .


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