When a coin is tossed, the probability of getting a Head is p, 0 < p < 1. Let…

GATE · 2006 · IT

When a coin is tossed, the probability of getting a Head is p, 0 < p < 1. Let N be the random variable denoting the number of tosses till the first Head appears, including the toss where the Head appears. Assuming that successive tosses are independent, the expected value of N is

  1. A.

    1/p

  2. B.

    1/(1−p)

  3. C.

    1/p^2

  4. D.

    1/(1-p^2)

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