Concept explainers
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
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.
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