3. The time T required to receive a message at node B from nodeA is an exponentially distributed random variable with mean 1/10(milliseconds). The time T is measured from the moment that amessage left node A to the moment that it was received by nodeB.
a) What is the probability that T exceeds 105 milliseconds?
b) What is the probability that a message is received after 200milliseconds given that no message was received before 95milliseconds? That is, calculate: P(T > 200 | T 95):
