Question: In data communication, messages are usually combinations of characters, and each character consists of a number of bits. A bit is the smallest unit of

In data communication, messages are usually combinations of characters, and each character consists of a number of bits. A bit is the smallest unit of information and is either 1 or 0. Suppose that the length of a character (in bits) is a geometric random variable with parameter p. Also suppose the length of characters are independent random variables. What is the distribution of the total number of the bits forming a message of k random characters?

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