In: Statistics and Probability
3. The time T required to receive a message at node B from node A is an exponentially distributed random variable with mean 1/10 (milliseconds). The time T is measured from the moment that a message left node A to the moment that it was received by node B.
a) What is the probability that T exceeds 105 milliseconds?
b) What is the probability that a message is received after 200 milliseconds given that no message was received before 95 milliseconds? That is, calculate: P(T > 200 | T 95):
We are given that T is exponentially distributed with mean 1/10 (millisecond).
and the pdf and cdf of T are given by
:
(t in milliseconds)
a)
The probability that T exceeds 105 milliseconds is given by:
b)
The probability that a message is received after 200 milliseconds given that no message was received before 95 milliseconds is given by:
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