If the random variable X assumes the values 0 and 1 only and is such that P(X = 0) = 3P(X = 1), then the value of E(X) is

Question

If the random variable X assumes the values 0 and 1 only and is such that P(X = 0) = 3P(X = 1), then the value of E(X) is
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Solution 1

The expected value E(X) of a random variable X is calculated as the sum of all possible values of X multiplied by their respective probabilities.

Given that X can take on the values 0 and 1, and that P(X = 0) = 3P(X = 1), we can first find the probability P(X = 1).

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