Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or vice versa). Because of this, the computer sending a message repeats each bit three times, so a 0 is sent as 000 and a 1 as 111. The receiving computer "decodes" each triplet by majority rule: whichever number, 0 or 1, appears more often in a triplet is declared to be the intended bit. For example, both 000 and 100 are decoded as 0, while 101 and 011 are decoded as 1. Suppose that 6% of bits are switched (0 to 1, or 1 to 0) during transmission between two particular computers, and that these errors occur independently during transmission.(a) Find the probability that a triplet is decoded incorrectly by the receiving computer.(b) Using your answer to part (a), explain how using triplets reduces communication errors.(c) How does your answer to part (a) change if each bit is repeated five times (instead of three)?(d) Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Answers

Answer 1

Answer:

(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010

(b)

(1 – p) = 0.010

(c)

E(x) = 25000 x 0.010

     = 259.2

Explanation has given below.

Step-by-step explanation:

Solution:

(a) Probability that a triplet is decoded.

2 out of three

P = 0.94, n = 3

m= no of correct bits

m   bit (3, 0.94)

At p(m≤1) = B (1; 3, 0.94)

 = 0.010

(b) Using your answer to part (a),

(1 – p) = 0.010

Error for 1 bit transmission error.

(c)  How does your answer to part (a) change if each bit is repeated five times (instead of three?

P( m ≤ 2 )

L = Bit (5, 0.94)

   = B (2; 5, 0.94)

   = 0.002

(d)  Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Given:

h = 25000

Bits are switched during transmission between two computers = 6% = 0.06

m = Bit (25000, 0.06)

E(m) = np

        = 25000 x 0.06

         = 1500

m = Bit (25000, 0.01)

E(m) = 25000 x 0.010

     = 259.2


Related Questions

Which fraction is equivalent to 2/6?

Answers

Answer:3/9

Step-by-step explanation: 2/6=1/3. And 1/3x3=3/9

If the sum of three consecutive numbers is 852, what is the middle one?

Answers

it should be 3 and 3 is the the right answer

The required middle number is 284 and the three consecutive numbers would be 283, 284, and 285 respectively.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

Let the three consecutive numbers would be x, x + 1, x + 2 respectively

Given that the sum of three consecutive numbers is 852

⇒ x + x + 1 + x + 2 = 852

⇒ 3x + 3 = 852

⇒ 3x = 852 - 3

⇒ 3x = 849

⇒ x = 849/3

⇒ x = 283

So the three consecutive numbers would be 283, 284, and 285 respectively.

Therefore, the required middle number is 284.

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Find all solutions in the interval [0, 2π).

4 sin^2 x - 4 sin x + 1 = 0

Answers

Answer:

[tex]the \: solutions \: are : \\ x = 0 \\ x = 360[/tex]

A customer purchased a lawn mower for a total purchase price of $318.75. If the state has a sales tax rate of 7.75%, what was the selling price of the lawn mower

Answers

Answer:

$343.45

Step-by-step explanation:

$318.75 x 1.0775 = $343.45

or

$318.75 x 0.0775 = $24.70

$318.75 + $24.70 = $343.45

The selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.

What is percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a customer purchased a lawn mower for a total purchase price of $318.75.

Sales tax rate = 7.75%

Sales tax amount = 7.75% of $318.75

Sales tax amount = $24.64 ≈ $24.70

Original price = 318.75 + $24.70 = $343.45

Thus, the selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.

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The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

1.What is the phase shift, h, of this curve?
2.What is the vertical shift, k, of this curve?
3.What is the amplitude, a, of this curve?
4.What is the period and the frequency factor, b, of this curve?
5.Write an equation using the cosine function that models this data set.

Answers

Answer:

A.) phase shift is h=6

B.) Vertical shift is 21 units down

C.) The amplitude is 5 from the midline at y= -21

D.) The period is 16 and the frequency factor is pi/8

E.) 5 cos(pi/8(x-6))-21

Step-by-step explanation:

Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.

what is the value of the expression below (4 * 7) - [(10 * 2 ) - 1 ]

Answers

Answer:

9

Step-by-step explanation:

There is a parade coming through town, the route is 2 miles long with 10 foot wide sidewalks along each side. If the crowd is approximately 5 people per 16 square feet, how many people are estimated to be watching?

Answers

Answer:

66 000 people

Step-by-step explanation:

Hi there !

1 mile = 5280 feet

2 miles = 2×5280ft = 10 560 feet

Area = 2(10560ft×10ft) = 2×105600ft² = 211200 ft²

How many people are estimated to be watching?

16 ft² ................ 5 people

211200 ft².........x people

x = 211200×5/16

= 1056000/16

= 66 000 people

Good luck !

Find the value of x.
Pls explain to me I’m lost

Answers

Answer:

idk but i can tell you another site if you still need help,

QUIZLET

Step-by-step explanation:

Answer:

x=17 degrees

Explanation:

Its the same angle as 17 degrees

Write the equation 4x + 2y - 6 = 0 in the slope-intercept form (y = mx + b).

Answers

Answer:

y= -2x+3

Step-by-step explanation:

First, you want to isolate the variable 2y on its own.

It would look like this: 2y= -4x+6

Then, divide every term by two.

It would look like this: y=-2x+3

Hope it helped.  

Answer:

y= -2x+3

Step-by-step explanation:

3y + 7 - y = 5 + 2y + 2

Answers

hope this makes sense and that it is correct

final answer is all real numbers
Simplify the initial equation and the rest is basic math, hope this helps!!

Which expression is equivalent to the given expression after using the distributive property? 9(x + 3) + 15x




9 · x + 9 · 3 + 9 · 15x



9(x + 3 + 15)x



9 · x + 3 + 15x



9 · x + 9 · 3 + 15x

Answers

Answer:

9 • x + 9 • 3 + 15x

Step-by-step explanation:

You have to divide 9 by each term inside the parenthesis. 15x isnt multiplied or added to anything else so it stays the same.

If a shoe company has $1 million in fixed costs, its average shoe sells for $50 a pair, and variable costs are $30 per unit, how many units does the company need to sell to break even? (Show work)

Answers

Answer:

s

Step-by-step explanation:

bdjdiwo9929191isjjz

The four in the hundred
thousands place is
the
value of the four in the millions
place
4,473,774

Answers

Answer:

1/10th of the value of the four in the millions place

might be wrong....

not sure.....

i can't delete my answer though so....

i apologize

A recipe for salad dressing calls for 3 teaspoons of oil for every 2 tablespoons of vinegar

Answers

Answer:

6

Step-by-step explanation:

Answer:

1,1.5 is the answer

Step-by-step explanation:

$4.30 makeup; 40% discount

Answers

Answer: free makeup

Step-by-step explanation: girl u got it

Answer:

40 percent of $4.30 is $1.72 and the cost of the makeup after the discount would be $2.58

Step-by-step explanation:

Pls help i dont understand :( Will give brainliest + 25 Points!!

Answers

Answer:

Answer is A

Step-by-step explanation:

The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.

Answer:

A) y=-5/6+1

Step-by-step explanation:

You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:

y=-5/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-4). When x of the line is 6, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).

So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.

The equation of the line that passes through the point (6,-4) with a slope of -5/6

is

y=-5/6x+1

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).


-1


1


-4


4


2 + 5i


2 - 5i


-2 + 10i


-2 - 10i

Answers

Answer:

The answer is 1, -4, 2+5i, 2-5i

Step-by-step explanation:

Answer:

B,C,E,F

Step-by-step explanation:

Edge 2020

how to rotate a triangle 90 dagrees clockwise?​

Answers

Answer:

Turn it 90 degrees left or right, basically turn it left or right until it is sideways

Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
about the graph of the system.

Solve A and B

PLEASE HELP ASAP!!!



Answers

Answer:

a: no solutions

b: (2, 3)

Step-by-step explanation:

a:

In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.

b:

Since both of the equations are equal to y, we can set them equal to each other:

[tex]\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0[/tex]

We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):

(x-2)^2 = 0

x = 2

Now, to find y, plug-in x to any of the equations:

y = 2*2-1 = 3

Therefore, the solution to this system of equation is (2, 3)

I hope this helped.


Jesse fixed 40 desserts for a catering event.
Of these, 3/5 had chocolate. How many desserts did NOT have chocolate?

Answers

Answer: 16

Step-by-step explanation:

40 / 5 = 8 = 1/5 of 40

8 × 3 = 24 = 3/5 of 40

40 - 24 = 16

3 square feet divided by 1/7 ft

Answers

Answer: 6.4008

Step-by-step explanation:You can use the Calculator EX clap.

If 125% of x is 225, what is the value of x?

Answers

Answer: 180

Step-by-step explanation: Try to find what 1% is, so do: 225/125, then you have 1%, now multiply that by 100 to find x. Your answer is 180.

Which function defines the sequence 6,8,10,....?
(5 Points)
f(n)=2n+4
f(n)=3n+2
f(n)=6n

Answers

Answer:

f(n)=2n+4

Is the answer

Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.9 × 105 words.

Samuel can type 2.9 × 105 words in
hours and
minutes.

Answers

Answer:

Samuel can type 40 words per minute

Step-by-step explanation:.

Then how many hours will it take for him to type 2.6 words times 10 to the power of five words

=> 2.6 words time 10 to the power of 5

=> 2.6 x 10^5

=> 2.6 x 100 000

=> 260 000 words in all.

Now, we need to find the number of words Samuel can type in a hour

=> 40 words / minutes , in 1 hour there are 60 minutes

=> 40 x 60

=> 2 400 words /hour

Now, let’s divide the total of words he need to type to the number of words he can type in an hour

=> 260 000 / 2 400

=> 108.33 hours.

Evaluate and reduce:
-
- 1+ ( 12 )
Enter the number that belongs in the
green box.
? ]

Answers

Answer:

Step-by-step explanation:

Taking LCM, =48

[tex]\frac{-12}{16}[/tex]× [tex]\frac{3}{3}[/tex] + [tex]\frac{11}{12}[/tex]×[tex]\frac{4}{4}[/tex]

=[tex]\frac{-36+44}{48}[/tex]

=8/48

=1/6

Help me easy math problem

Answers

Answer:

15/36

Step-by-step explanation:

Answer:

51/39 then simplify

Step-by-step explanation:

I did it

Miss Sherman hired Michael to make balloon animals for the children who visited a carnival Michael was paid a base fee of $100 plus a fee of $1.50 per balloon animal made if Michael was paid $295 how many balloon animals did Michael make?

Answers

295 -100( base fee)=195
195 divided by 1.50(per gallon) = 130 gallons mAde

Answer:

130 balloons.

Step-by-step explanation:

295-100=195$

195÷1.50=130 balloons.

What is the solution to the equation 5 (n- 1/10) = 1/2

Answers

Answer:

n = 0.2

Step-by-step explanation:

Apply the distributed property, so it now looks like this: 5n - 0.5 = 1/2Add 0.5 to each side, so it now looks like this: 5n = 1Divide each side by 5 to cancel out the 5 next to n. It should now look like this: n = 0.2

I hope this helps!

Answer:

The answer isnt 0.2 for me  it is eaither n=0, n=1/5, n=3/25, or n=13/5

Step-by-step explanation:

Angles of a triangle are in the ratio 2:4:3the smallest angle of the triangle is ​

Answers

Angle A, 2

2 is the smallest out of 2:4:3

hope this helps :)

HELP ME, its due at 9pm

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let(x,y) be the unknown endpoint. Apply the midpoint formula,
and solve the two equations for x and y)
midpoint (-24.18) endpoint (-19.10)
The other endpoint is
(Type an ordered pair

Answers

M = (  (x1 + x2) / 2  ,  (y1 + y2) / 2 )

(9, 0) = (  (x1 + 12) / 2  ,   (y1 + 3) / 2)

Break up this formula into two equations.

(x1 + 12) / 2 = 9           and          (y1 + 3) / 2 = 0

Solve for x1 and y1 from the equations.

another way to explain it

the formula for finding the midpoint of a segment given the coordinates of its endpoints is:

((x1+ x2)/2, (y1 +  y2)/2   {Average of the x coordinates, average of the y coordinates}.

For this problem we know the coordinates of the midpoint along with one of the endpoints.

So the x coordinate of the midpoint (9) must equal (12 + x2)/2.

That is:  9 = (12 + x2)/2  Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.

and another way

The x's are 3 apart and the y's are 3 apart. The other endpoint is (9 - 3, 0 - 3), or (6,-3).

hope this helped you have a good day this was ez

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