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
What is the difference between a 30° angle and a -30° angle?
ipn [44]

Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.

7 0
2 years ago
Last week, Brianna earned $565.75, which included a $100 bonus. She makes $11.50 an hour. Which equation and solution can be use
cluponka [151]
Its 677.25 hope it helps 
3 0
2 years ago
Which relationship describes angles 1 and 2? Select each correct answer. A adjacent angles B complementary angles C vertical ang
Scrat [10]
The correct answer for this question is this one:
<span>- A adjacent angles
-D supplementary angles

The relationship that describes angle 1 and angle 2 is that they are adjacent angles -- at the same time they are also supplementary angles.</span>
Hope this helps answer your question and have a nice day ahead.
3 0
2 years ago
Read 2 more answers
A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green. It is spun twice. What is the probability of getting not green
Nonamiya [84]

Answer:

0.24

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an even will happen or not happen is 1.

Given that the spun has 10 sections 3 red, 3 blue and 4 green, the probability of not getting green

= (3 + 3)/(3 + 3 + 4)

= 6/10

The probability of getting green

= 4/10

Hence the probability of getting not green then green

= 6/10 * 4/10

= 24/100

= 0.24

4 0
2 years ago
Solve for x: -7x+2=-4x-7
Zielflug [23.3K]

Answer: x = 3

Step-by-step explanation:

First you need to start by adding positive 4x to both sides since the 4x is a negative.  4x + (-7x) = -3x.  Then it is just simply -3x+2 = -7.  Since 2 is a positive number subtract both both sides by 2.  Then you should get -3x = -9.  Then divide both sides by -3 and the answer is x = 3.

5 0
2 years ago
Other questions:
  • Dan said that if a quadratic equation does not have any real solutions , it is not a function . Critique his reasoning
    15·1 answer
  • Which term best describes a figure formed by three segments connecting three noncollinear points?
    9·2 answers
  • 74% of an organizations mem
    5·1 answer
  • Factorize: x^2 + (a^2+1)/a x+1
    11·1 answer
  • How tall is a building that casts a 61-fit shadow when the angle of elevation of the sun is 60 degrees?
    8·1 answer
  • In a game a spinnerwill land on red 45% of the time, yellow 15% of the time, and blue 40% of the time. If the spinner is spun th
    5·1 answer
  • Solve for X y and z brainliest
    15·1 answer
  • Someone please help me, this test determines if I pass or not.
    10·1 answer
  • Which inequality is represented by the graph below?
    15·1 answer
  • 2____+2_____=5_____<br>what are the nouns<br>​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!