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
ryzh [129]
2 years ago
13

A communications channel transmits the digits 0 and 1. However, due to static, the digit transmitted is incorrectly received wit

h probability 0.2. Suppose that we want to transmit a message consisting of one binary digit. To reduce the chance or error, we transmit 00000 instead of 0 and 11111 instead of 1. If the receiver of the message uses majority" decoding, what the probability that the message will be wrong when decoded? What independence assumptions are you making?
Mathematics
1 answer:
m_a_m_a [10]2 years ago
4 0

Answer:

The probability that the message will be wrong when decoded is 0.05792

Step-by-step explanation:

Consider the provided information.

To reduce the chance or error, we transmit 00000 instead of 0 and 11111 instead of 1.

We have 5 bits, message will be corrupt if at least 3 bits are incorrect for the same block.

The digit transmitted is incorrectly received with probability p = 0.2

The probability of receiving a digit correctly is q = 1 - 0.2 = 0.8

We want the probability that the message will be wrong when decoded.

This can be written as:

P(X\geq3) =P(X=3)+P(X=4)+P(X=5)\\P(X\geq3) =\frac{5!}{3!2!}(0.2)^3(0.8)^{2}+\frac{5!}{4!1!}(0.2)^4(0.8)^{1}+\frac{5!}{5!}(0.2)^5(0.8)^0\\P(X\geq3) =0.05792

Hence, the probability that the message will be wrong when decoded is 0.05792

You might be interested in
Write 55,426 using the number names
Aleks04 [339]

Answer:

fifty five thousand four hundred and twenty six.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Zeros of a polynomial function that cannot be shown on the coordinate plane are called ___ zeros.
kykrilka [37]
I’m not sure if I crab help u
4 0
3 years ago
Read 2 more answers
I need help solving this​
max2010maxim [7]

Answer:

sorry cant help u

Step-by-step explanation:

im bad at this

5 0
2 years ago
If two angles have the same measure, then they are right angles true or false
spin [16.1K]

Answer:

False

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the surface area of the triangular prism?<br><br><br> ​
Sergeu [11.5K]

Good morning ☕️

Answer:

<h2>168 ft²</h2>

Step-by-step explanation:

the surface area of the triangular prism =

2×(the base’s area) + the lateral area

the base’s area =

\frac{6*4}{2} =\frac{24}{2} =12

the lateral area =

9×(6 + 5 + 5) = 9×16 = 9×16 = 144

finally,

the surface area of the triangular prism = 24 + 144 = 168

___________________________________________

:)

7 0
3 years ago
Other questions:
  • A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward each time the wheels go around (use
    11·1 answer
  • Is the sequence an a solution of the recurrence relation an = 8an−1 − 16an−2?
    13·1 answer
  • What is the slope of the line shown below <br> (Check the pictures)
    5·1 answer
  • How many solutions does 3x+5=7x-20 have?
    8·1 answer
  • What is the value of y in the following system of equations? explain how you found your answer
    14·2 answers
  • Three friends map their houses on a coordinate grid. Alex's house is located at point (7, 18). Jimmy's house is at point (-9, 7)
    12·1 answer
  • The table shows several points for function h(x).
    7·1 answer
  • a package of 3 pairs of insulated gloves costs 19.77. what is the unit price of the pairs of gloves?​
    7·1 answer
  • May someone help me with this factor equation?
    12·1 answer
  • Oliver has 42 hockey cards in his collection, which is 7 times more than Juan has. If Juan has h hockey cards, what is the value
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!