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 ans. 1/4 2/3 none 1/3

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 ans. 1/4 2/3 none 1/3
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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 of 0 and 1, and that P(X = 0) = 3P(X = 1), we can set up the following equations:

Let P(X = 1) = p, then P(X = 0) = Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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