Two transmitters send messages by bursts of the radio signals to antenna. Throughout each time slot each transmitters ends the message with probability 1/2. Simultaneous transmissions result in loss of messages. Let X is the number f time slots till the first message gets through.
(A) Explain the underlying sample space S of this random experiment and determine the probabilities of its elementary events.
(B) Describe the mapping from S to Sx, the range of X.
(C) Find out the probabilities for the various values of X.