In a super fast photonic switch that you are designing, each
incoming photon is directed to output port ”A” with probability p,
and to output port B with probability 1 − p, independently. Let R
be the total number of photons going to port A and let G be the
number of items going to port B in a certain amount of time, during
which n photons pass through the switch.
(a) Determine the PMF, expected value, and variance of...