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2. The time intervals between successive packets arriving at a network router interface is expo nentially distributed with a mean of 10ms. There are hundreds of different types of packets, however the two dominant types are TCP and UDP. Studies show that approximately 20% of traffic is UDP and 80% of traffic is TCP. Find the probability that the time interval between two successive packets (of either type) is less than 2ms Find a time interval t such that we can be 95% sure that the time interval tween two packets will be greater than t. Suppose that you observe the packets over a period of 1 second. What is the probability that you observe exactly 50 packets (any type)? (Hint: use the Poisson distribution) Over a period of 1 second, what is the probability that you observe exactly 50 UDP and 100 TCP packets?

math   Statistics-And-Probability   
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宿 2- l o =6.05 2) 1-Ge(zere ao,1,2, 15 0 5o

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