1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yanalaym [24]
3 years ago
14

(7 3 points) Consider a packet stream whereby packets arrive according to a Poisson process with rate 10 packets/s. If the inter

arrival time between any two successive packets is less than the transmission time of the first, the two packets are said to collide. Find the probability that a packet collides with either its predecessor or its successor assuming that all packets have a transmission time of 20 ms. How will your answer change if the packets have independent, exponentially distributed transmission times
Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

Let t1 be the arrival times between a packet and its immediate predecessor and t2 be the arrival times between a packet and successor. Let L1 be the lengths of the predecessor packet and L2 the length of the packet itself. Therefore:

P(no collision between packet and predecessor or successor) = P(t_1>L_1)P(t_2>L_2)

If P1 is the probability that there is no collision with preceding packets, hence:

P(no collision with other packets) = P_1*P(t_2>L_2)

λ = 10 packets/s, fixed packet length = 20 ms = 0.02 s. Hence:

P(t_1>L_1)=P(t_2>L_2)=e^{-\lambda *0.02}=e^{-10*0.02}=e^{-0.2}

P(no collision between packet and predecessor or successor) = P(t_1>L_1)P(t_2>L_2) = e^{-0.2}*e^{-0.2}=e^{-0.4}

P(packet collides with either its predecessor or its successor) = 1 - P(no collision between packet and predecessor or successor) = 1-e^{-0.4}=0.33

If the transmission times change, the answer would also change.

You might be interested in
If ALMN = AXYZ, which congruences are true by CPCTC? Check all that<br> apply.
Lubov Fominskaja [6]

Answer:

A C E

Step-by-step explanation:

these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.

7 0
2 years ago
Solve for x: x/5 = 75
Ainat [17]

Answer:

x=15

Step-by-step explanation:

75/5=x  15x5=75

6 0
3 years ago
Read 2 more answers
18/38 as a percentage
zheka24 [161]

Answer47.3%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Graph the solution x
mixas84 [53]

Answer:

I think you need to put more info

Step-by-step explanation:


8 0
3 years ago
What is the x-intercepts of the graph of y = 12x-5x-2
hammer [34]
Y = 12x - 5x - 2

first simplify the equation by subtracting like terms (in this case):

12x - 5x = 7x

y = 7x - 2

Since you are finding the x, you must isolate the x. Do the opposite of PEMDAS.(Note: because there is a equal sign, what you do to one side, you do to the other)

y = 7x - 2

y (+2) = 7x - 2 (+2)
y + 2 = 7x
(y + 2)/7 = 7x/7

x = (y + 2)/7


x = (y + 2)/7 is your answer

hope this helps
8 0
3 years ago
Read 2 more answers
Other questions:
  • If x = 5 and y = 7, evaluate the following expression:<br> 100 – 3(3y - 4x)
    8·2 answers
  • The owner of patties party shop ordered 4 cartons of balloons. how many balloons did she order?
    14·2 answers
  • How many centimeters are in<br> 9 inches? 1 in. = 2.54 cm
    7·2 answers
  • In mr. B classroom, there are 29 students. Twelve students got a B, one got a C and the rest have A. What percent of the class r
    7·2 answers
  • Help for brianly plzzzzzzzz
    9·2 answers
  • Selvi deposited RM8 000 in a fixed deposit
    11·1 answer
  • 3/4 - 2/7 =<br> Helpp pls this is my math test .
    11·1 answer
  • This beach ball has a surface area of 452.16 inches². What is its diameter? Use 3.14 for π. inches
    8·2 answers
  • Find the perimeter of the image below: A. 37 units
    10·2 answers
  • Find a single expression that represents the perimeter of the rectangle.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!