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A computer sends a packet of information along a channel and waits for a return signal acknowledging that the packet has been received. If no acknowledgment is received within a certain time, the packet is re-sent. Let X represent the number of times the packet is sent. Assume that the probability mass function of X is given by
p(x)={cxforx=1,2...,50 otherwise
where c is a constant. Express the answers in decimals.
Find the mean number of times the packet is sent. (Round the final answer to three decimal places.)
