Consider a sequence of independent Bernoulli trials, where $\frac{3}{4}$ is the probability of success in each trial. Let X be a random variable defined as follows : If the first trial is a success, then X counts the number of failures before the next success. If the first trial is a failure, then X counts the number of successes before the next failure. Then 2E(X) equals __________

Question

Consider a sequence of independent Bernoulli trials, where $\frac{3}{4}$  is the probability of success in each trial. Let X be a random variable defined as follows : If the first trial is a success, then X counts the number of failures before the next success. If the first trial is a failure, then X counts the number of successes before the next failure. Then 2E(X) equals __________

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The correct answer is 2.

Correct Answer: 2

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