Question

2. Consider two wireless transmitters, A and B, that are near each other. In each time slot, each transmitter sends a message with probability 1/2 and is otherwise idle. Whether or not B transmits in a time slot is independent of whether A transmits in the slot. Simultaneous transmissions result in loss of the messages (called a collision). Let X be the number of time slots until the first message gets through. (a) Describe the underlying sample space 2 of this random experiment and specify the probabilities of its elementary events. (b) Find the pmf of X

Answer 1

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