1) Two transmitters independently send messages over a wireless channel. During each time slot, eachtransmitter sends a message with probability 1/2. Simultaneous transmissions result in loss of bothmessages. If X is the number of time slots until the first message gets through, find the PMF of X.

2)Find the mean and variance of Y if it takes on values in the set S(y) = (0,2,5,10) and all values are equiprobable. Further, if Z = 2Y^2 -3Y, find E(Z).