b) Consider a measurement device that measures the packet header types of every packet that crosses a link. Suppose that during the course of a day, the device samples 1,000,000 packets, of which 450,000 are UDP packets, 500,000 are TCP packets, and the rest are from other transport protocols. i. Suppose that measurements show that 20% of the UDP packets have a packet size of 52 bytes. Let P(UDP) denote the probability that the packet is of type UDP and let P(52) denote the probability that the packet is of length 52 bytes. Find the probability that it is a UDP packet with the size of 52 bytes. ii. System measurements show that 90% of the TCP packets have a packet size of 52 bytes. The other packets (which is not UDP and TCP) were known to be of length other than 52 bytes. Compute the probability of packet having the size of 52 bytes, P(52). :

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b) Consider a measurement device that measures the packet header types of every packet
that crosses a link. Suppose that during the course of a day, the device samples 1,000,000
packets, of which 450,000 are UDP packets, 500,000 are TCP packets, and the rest are
from other transport protocols.
i. Suppose that measurements show that 20% of the UDP packets have a packet size of
52 bytes. Let P(UDP) denote the probability that the packet is of type UDP and let
P(52) denote the probability that the packet is of length 52 bytes. Find the probability
that it is a UDP packet with the size of 52 bytes.
ii.
System measurements show that 90% of the TCP packets have a packet size of 52
bytes. The other packets (which is not UDP and TCP) were known to be of length
other than 52 bytes. Compute the probability of packet having the size of 52 bytes,
P(52).
Transcribed Image Text:b) Consider a measurement device that measures the packet header types of every packet that crosses a link. Suppose that during the course of a day, the device samples 1,000,000 packets, of which 450,000 are UDP packets, 500,000 are TCP packets, and the rest are from other transport protocols. i. Suppose that measurements show that 20% of the UDP packets have a packet size of 52 bytes. Let P(UDP) denote the probability that the packet is of type UDP and let P(52) denote the probability that the packet is of length 52 bytes. Find the probability that it is a UDP packet with the size of 52 bytes. ii. System measurements show that 90% of the TCP packets have a packet size of 52 bytes. The other packets (which is not UDP and TCP) were known to be of length other than 52 bytes. Compute the probability of packet having the size of 52 bytes, P(52).
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