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Q.

Consider a sequence of independent Bernoulli trials, where 34 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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answer is 2.

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Detailed Solution

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p2(q+2q2+)+q2(p+2p2+)

=p2q(1q)2+q2p(1p)2=q+p=1

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