8. In data communication, usually messages sent are 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. Suppose that a message is combined of K characters, where K is a random variable with mean μ and variance σ2. If the lengths of characters of a message are independent of each other and of K, and if it takes a sender 1000 bits per second to emit a message, find the expected value and variance of T, the time it will take the sender to emit a message.