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 cx for x S 1,2,3,4, or 5 otherwise p(x) where c is a constant. a Find the value of the constant C so that p(x) is a probability mass function. b. Find P(X = 2). C. Find the mean number of times the packet is sent d. Find the variance of the number of times the packet is sent: e. Find the standard deviation of the number of times the packet is sent: