Question: Each time a modem transmits one bit, the receiving modem analyzes the signal that arrives and decides whether the transmitted bit is 0 or 1.

Each time a modem transmits one bit, the receiving modem analyzes the signal that arrives and decides whether the transmitted bit is 0 or 1. It makes an error with probability p, independent of whether any other bit is received correctly. If the probability of error is p=0.1. Suppose that the sending modem transmits bits until the receiving modem makes three errors, and Z represents the PMF of the number of bits transmitted. What is Pr(Z=20) ?

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