(c) Find the variance of X. (5%)

3. Let \( X \) be the first wrong bit in a sent bit sequence. Then \( X \) is a geometric random variable with the parameter \( p \) (meaning that the probability of sending a wrong bit is \( p \) and the event of sending a bit is independent). If we know the first 4 bits are correct, please find the probability that the first 10 bits are correct. (10%)

(c) Find the variance of X. (5%)

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