Problem # 3. A pair of packets is sent over the network to an end user....
Problem # 3. A pair of packets is sent over the network to an end user. It is known that the first packet will be lost with probability 1/3. If the first packet is received, then the second packet is lost with probability 1/6. If the first packet is lost then the second packet is lost with probability 2/3. Find the probabilities of the events:
a) Exactly one packet is received by the end user.
b) Both packets are lost.
Homework Answers
Tree Diagram
a) P(exactly one packet is received by end user) = P(first is lost and second is received) + P(first is received and second is lost)
= 1/3 x 1/3 + 2/3 x 1/6
= 2/9
b) P(both packets are lost) = 1/3 x 2/3
= 2/9
Add Answer to:
Problem # 3. A pair of packets is sent over the network to an
end user....
A congested computer network has a 0.006 probability of losing a data packet and packet losses...
A congested computer network has a 0.006 probability of losing a data packet and packet losses are independent events. A lost packet must be resent. Round your answers to four decimal places (e.g. 98.7654) (a) What is the probability that an e-mail message with 100 packets wl need any resent? (b) What is the probability that an e-mail message with 3 packets will need exactly one to be resent? (c) If 10 e-mail messages are sent, each with 100 packets,...
3. A data packet containing 18 bits is sent over a noisy communication channel. The probability...
3. A data packet containing 18 bits is sent over a noisy communication channel. The probability that the k-th bit is received correctly at the destination is 1 - p, and, therefore, it is erased with probability p. Erasures are independent over time. (a) 1 pt What is the probability that exactly 7 bits are erased from this packet? (b) 1 pt What is the maximum value of p such that the probability that the packet is received correctly (i.e.,...
Monitor three consecutive packets going through a Internet router. Based on the packet header, each packet...
Monitor three consecutive packets going through a Internet router. Based on the packet header, each packet can be classified as either video ( v ) if it was sent from a YouTube server or as ordinary data ( d ). Your observation is a sequence of three-letters (each letter is either v or d ). For example, two video packets followed by one data packet corresponds to vvd . Write the elements of the following sets: A 1 = {...
A variation on a familiar theme: A packet is received correctly by an end user with...
A variation on a familiar theme: A packet is received correctly by an end user with probability p. To increase the likelihood that an important message is received, the packet is sent repeatedly N times. Let random variable X be the number of copies received correctly by the end user. a) Find the PMF PX(x). b) If p = 0.9, how large should N be to ensure that with probability 0.99 at least one copy of the message is received?...
, or losing a data packet and packet losses are independent events A lost packet must...
, or losing a data packet and packet losses are independent events A lost packet must be resert Rond your answers to fordernal places (·g. 98 7654). (a) What is the probability that an e-mail message with 100 packets will need any resent? (b) What is the probability that an e-mail message with 3 packets will need exactly one to be resent (c) If 10 e-mail are sent, each with 100 packets, what is the probability that at least one...
2. The time intervals between successive packets arriving at a network router interface is expo nentially...
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...
1. For TCP end-to-end flow control, suppose the capacity of the receiver buffer is 10 packets. Su...
1. For TCP end-to-end flow control, suppose the capacity of the
receiver buffer is 10 packets. Suppose the packets that are being
queued in the receiver buffer are packets 4, 5, 6, 7, 8, 10, 11.
What is the advertised window size the receiver sent to the sender?
Suppose packet 12 is the last packet sent by the sender. What’s the
effective window size at the sender? Can the sender send out packet
13 at this moment? How about packet...
Problem 2 For a given network, the average packet length L = 1024 bytes, packets are...
Problem 2 For a given network, the average packet length L = 1024 bytes, packets are arriving with an average rate = 8 pakets/s, the network is used to support voice call services which can tolerate a maximum end-to-end delay of 150 ms, the average end-to-end distance between any two connected nodes in the network is 1000 km, the average phase velocity for signal travelling throughout the network links is 0.1 speed of light in free space and the call...
In the Benes network B4 16 inputs are matched with 16 outputs. The network can send each input to...
In the Benes network B4 16 inputs are matched with 16 outputs. The network can send each input to either of two copies of B3 , which will be called the upper and lower copy. To have a congestion of 1 it is essential that any two inputs that differ by exactly 8 go to different copies of B3, and that any two packets with outputs that differ by exactly 8 also go to different copies of B3. Consider the...
Problem # 5. Yet another variation: A better packet switched network employs the concept of acknowledgment....
Problem # 5. Yet another variation: A better packet switched network employs the concept of acknowledgment. When the end user’s device receives a packet correctly it sends an acknowledgment to the sender. Here too, a packet is received correctly with probability p, but the sender keeps sending copies of a given packet until a copy is correctly received (signaled by acknowledgment). Let random variable N be the number of times the same message packet is sent. a) Find the PMF...
A congested computer network has a 0.006 probability of losing a data packet and packet losses are independent events. A lost packet must be resent. Round your answers to four decimal places (e.g. 98.7654) (a) What is the probability that an e-mail message with 100 packets wl need any resent? (b) What is the probability that an e-mail message with 3 packets will need exactly one to be resent? (c) If 10 e-mail messages are sent, each with 100 packets,...
3. A data packet containing 18 bits is sent over a noisy communication channel. The probability that the k-th bit is received correctly at the destination is 1 - p, and, therefore, it is erased with probability p. Erasures are independent over time. (a) 1 pt What is the probability that exactly 7 bits are erased from this packet? (b) 1 pt What is the maximum value of p such that the probability that the packet is received correctly (i.e.,...
, or losing a data packet and packet losses are independent events A lost packet must be resert Rond your answers to fordernal places (·g. 98 7654). (a) What is the probability that an e-mail message with 100 packets will need any resent? (b) What is the probability that an e-mail message with 3 packets will need exactly one to be resent (c) If 10 e-mail are sent, each with 100 packets, what is the probability that at least one...
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...
1. For TCP end-to-end flow control, suppose the capacity of the
receiver buffer is 10 packets. Suppose the packets that are being
queued in the receiver buffer are packets 4, 5, 6, 7, 8, 10, 11.
What is the advertised window size the receiver sent to the sender?
Suppose packet 12 is the last packet sent by the sender. What’s the
effective window size at the sender? Can the sender send out packet
13 at this moment? How about packet...
Problem 2 For a given network, the average packet length L = 1024 bytes, packets are arriving with an average rate = 8 pakets/s, the network is used to support voice call services which can tolerate a maximum end-to-end delay of 150 ms, the average end-to-end distance between any two connected nodes in the network is 1000 km, the average phase velocity for signal travelling throughout the network links is 0.1 speed of light in free space and the call...
Most questions answered within 3 hours.
-
Company XYZ know that replacement times for the quartz time
pieces it produces are normally distributed...
asked 7 minutes ago -
A) Write the acid-base reaction that occurs between Na2HPO4 and
NaOH
B) Write the possible reactions...
asked 21 minutes ago -
What advantages does the Natural Law Theory have in comparison
with the Divine Command Theory? Explain...
asked 27 minutes ago -
A diver comes off a board with arms straight up and legs
straight down, giving her...
asked 26 minutes ago -
Answer the following questions
In your own words, define each of these terms
- Branding, Packaging,...
asked 24 minutes ago -
Briefly discuss developments in the crude oil market and your
outlook, using the microeconomic concepts discussed...
asked 25 minutes ago -
Electrons are accelerated through potential difference of 12 V
and are bombarding the hydrogen atoms. To...
asked 28 minutes ago -
The first stock pays a current dividend of $2 which is growing
at 3% per year....
asked 36 minutes ago -
Assume an array list is declared as follows:
int list[100]
and that all other variables have...
asked 45 minutes ago -
Do you believe that as the pool of engineers decrease, or become
in higher demand, that...
asked 53 minutes ago -
A
700 kg car is coasting along a level road, slowing down at an
acceleration of...
asked 1 hour ago -
find dB IL for a sound with the intensity of 3x10^-13 w/sq meter
with a reference...
asked 1 hour ago