Suppose that a MS is traveling along a straight line from BS$1$ to BS$2,$ as shown in Figure above.

The BSs are separated by distance D$,$ and the MS is at distance r from BS$1$ and distance D$-$r from

BS$2.$ For simplicity ignore envelope fading and shadowing, and consider only the path loss. The

received power $($in dBm$)$ follows the characteristics

where di is distance from BSi in meters.

a$)$ Assume the following case;

i$.$ Find an expression for the probability that a handover can never occur from BS$1$ to BS$2,$

or vice versa.

ii$.$ Given that the MS is currently assigned to BS$1$ what is the probability that a handoff will

occur from BS$1$ to BS$2?$