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:
(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
The ordered set of data 18, 21, 24, a, 36, 37, b has a median of 30 and an average of 32. Find a and b? (Note the values are in order so 24 ≤ a ≤ 36 and 37 ≤ b.)
Answers
Answer:
a=30
b=58
Step-by-step explanation:
18+21+24+36+37+a+b=7×32
a=30
b=58
The solution is, the value of a & b are:
a=30
b=58
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
given that,
The ordered set of data 18, 21, 24, a, 36, 37, b
has a median of 30
and an average of 32.
now, we get,
Median is always the middle value of a well-arranged data set i.e. in ascending or descending order.
so, here, median = 4th term
i.e. 4th term = a
so, a = 30
again, we have,
18+21+24+36+37+a+b=7×32
now, we have,
18+21+24+30+36+37+b=7×32
so. we get,
b= 224 - 166
=58
Hence, The solution is, the value of a & b are:
a=30
b=58
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If x=—1/5 and y = 7/15 what is the value of x-y?
Answers
Answer:
X=3 and Y=2
Step-by-step explanation:
–10 + 9(–9v + 2) simplify
Answers
Answer:
\(-81v+8\)
Step-by-step explanation:
Step 1:
Use the distributing method to distribute 9
\(-10-81v+18\)
Step 2:
Combine like terms
\(-81v+8\)
what expression is equivalent to 23/24
Answers
Answer:
23/24 0.9583 95.83%
Step-by-step explanation:
Completing the square first gets brainliest maths Question plus 30 points.
Answers
Answer:
Hello,
Step-by-step explanation:
a)
\(x^2-2x-6=x^2-2x+1-1-6\\\\=(x-1)^2-7\\\)
b)
\(x^2-2x-6=(x-1)^2-7\\\\=(x-1-\sqrt{7} )(x-1+\sqrt{7} )\\\\\\\boxed{x=1-\sqrt{7} \ or\ x=1+\sqrt{7} }\\\)
In ANOVA analyses, when the null hypothesis is rejected, we can test for differences between treatment means by ________. Group of answer choices
Answers
Answer:
When conducting an analysis of variance analysis on a set of samples and the null hypothesis is rejected, we can test for the difference between treatment can be tested with the aid of a t-test. This is employed when 2 related groups are involved. Independent sample, paired sample or one-sample t-test can be conducted.
Step-by-step explanation:
A t-test is a test statistic used to make inferences that determine the differences that exist statistically between 2 related groups. It tells us if the 2 groups tested are from the same population. There are 3 types of t-test namely independent sample t-test, paired-sample t-test and one-sample t-test
a six sided biased die with probability 0.35 of landing a 6 is rolled until the third 6 comes up. let x be the number of rolls up to and including the third 6. which of the following statements is true about x?
Answers
The probability of rolling exactly one 6 when rolling a biased die twice is 8/25.
There are two possible ways to roll exactly one 6: we can either roll a 6 on the first roll and not on the second, or we can roll a 6 on the second roll and not on the first. The probability of rolling a 6 on the first roll and not on the second is (1/5) (4/5) = 4/25, and the probability of rolling a 6 on the second roll and not on the first is also 4/25.
Therefore, the probability of rolling exactly one 6 is the sum of these two probabilities, which is
4/25 + 4/25 = 8/25
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I have solved the question in general, as the given question is incomplete.
The complete question is:
On a biased die, the probability of getting a 6 is 1/5. The die is rolled twice. What is the probability of rolling exactly one 6?
The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.
a. Complete the table.
b. Describe the scales you could use on the x and y axes of a coordinate grid that would show all the distances and weights in the table.
distance (cm) weight (newtons)
20 28
55
140
1
Answers
Answer:
55= 39 2/7
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
As per the first row of proportional relationship, the proportion is:
y = kx28 = k*20k = 28/20 = 1.4The function is therefore:
y = 1.4xa) Table is filled in below:
distance (cm) | weight (newtons)
20 | 28
55 | 55*1.4 = 77
140/1.4 = 100 | 140
1 | 1*1.4 = 1.4
---------------------------------------------------------------
b) The scale should consider the coefficient 1.4, therefore x- axis will have a scale of 100 with intervals of 1 cm and y- axis will have a scale of 140 with intervals of 1.4 newtons
Mathematics question
Answers
Step-by-step explanation:
area of rectangle (a1)=b×h
20×30600in²area of triangle=1/2 ×b×h
1/2×40×30600in²total area of arrow=a1+a2
600+6001200in²stay safe healthy and happy.Answer:
Step-by-step explanation:
You will find authentic some of the areas of 3 shapes, two of them are triangles, and one is rectangle.
The formula for calculating the area of right angle triangle is A= 1/2bh
The formula used to find the area of rectangle is A= W×L
A1+A2+A3
= 1/2b1h1+ 1/2b2h2+ W×L
1/2(10inches)(30inches)+ 1/2 (10 inches)(30 inches)+ (30 inches)(20 inches)
=150 inches²+ 150 inches²+ 600inches²
=900 inch²
what is the Glide reflection as a composition of three reflections
Answers
Answer:
1. T( 6,0)
2. Reflection
Step by step explanation:
You need:
1. Translation rule
\((x,y)\text{ }\rightarrow(x+h,\text{ y+k)}\)2. A line to reflect over
let's see how only point A changes and we will know the complete figure.
First we translate A 6 units to the rigth
T(6,0)
Then we reflect the figure by a line, so you should look for an axis in which the two figures have the same distance.
In this case, will be this.
What are the coordinates of point B on AC such that AB is 3/4 of AC
Answers
Answer:
(1.75,0)
Step-by-step explanation:
How do I do number 1??
Help me it’s due tomorrow!!!
Answers
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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Mark has 64 paintings the 1st day he sells 1/4 of them then on each day after that he sells 1/2 of the paintings he started the day with how many paintings does mark have left after 4 days of selling his paintings
Answers
The number of painting that Mark has left in the fourth day is 18 paintings.
How to calculate the number of painting?Number of painting = 64
Amount sold.on first day = 1/2 × 64 = 32
Amount left = 64 - 32 = 32
Number sold in 2nd day = 1/4 × 32 = 8
Number left = 32 - 8 = 24
Number sold on 3rd day = 1/4 × 24 = 6
Number left = 24 - 6 = 18
Therefore, he has 18 painting in the fourth day
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Find the third iterate x3 of f(x) = 2x + 3
for an initial value of x0 = 2
a. 7
b. 15
c. 17
d. 37
Answers
For the function f(x) = 2x + 3 the third iterate x₃ is 37
To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,
we can apply the function repeatedly.
Starting with x₀ = 2:
x₁ = f(x₀)
= 2(2) + 3
= 7
x₂ = f(x₁)
= 2(7) + 3 = 17
x₃ = f(x₂)
= 2(17) + 3
= 37
Therefore, the third iterate x₃ is 37.
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41 is what percent of 120
Answers
Answer: Approximately 34.17%.
Step-by-step explanation: Let's divide 41 by 120. Doing so, we get 0.3466666 looping forever. We can simplify that to .3417, and then turn that into a percentage giving us 34.17%
barb covered each of the playroom "s for walls with a large piece of white board for kids to draw on. each board measured 7ft × 3ft. what was the total area of all 4 board?
Answers
The total area of all four white boards is 84 square feet, obtained by multiplying the dimensions of one board (7ft × 3ft) by the number of boards (4)
What is area?Area is the measure of the size of a two-dimensional surface, usually expressed in square units such as square inches, square feet, or square meters.
What is square feet?Square feet is a unit of area commonly used to measure the size of a surface in the US customary and Imperial measurement systems. One square foot is equal to the area of a square with sides of one foot in length.
According to the given information:
Barb covered 4 walls with white boards, and each board measured 7ft × 3ft. To find the total area of all 4 boards, we need to multiply the area of one board by the number of boards:
Total area = area of one board × number of boards
Total area = (7 ft × 3 ft) × 4
Total area = 21 ft² × 4
Total area = 84 ft²
Therefore, the total area of all four white boards is 84 square feet.
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Solve the equation log4 x² = log₂ (x-4).
Answers
Answer:
4x²=2(x-4)
2x²=x-4
2x²-x+4=0
x=1+√31/ 4, 1-√31/4
Step-by-step explanation:
1. Cancel log on both sides
2. Divide both sides by 2
3. Move all terms to one side
4. Use the quadratic formula
The sum of three consecutive even integers is 36 . find the smallest of them
Answers
Answer:
10
Step-by-step explanation:
You can get the three consecutive integers by using algebraic expressions.
Let's solve.
Let x be the smallest even integer.
Let x+2 be the second even integer.
Let x+4 be the largest even integer.
x+x+2+x+4 = 363x+6 = 363x = 36-63x = 30x = \(\frac{30}{3}\)x = 10Therefore, 10 is the smallest even integer.
x+2 = 10+2 = 12
The second even integer is 12.
x+4 = 10+4 = 14
The largest even integer is 14.
Let's check by adding the three even integers.
10+12+14 = 36
36 = 36
It's correct.
(Score for Question 3: of 6 points) 3. For each item below, draw a number line and plot the given numbers. Ensure the tick marks on the number line are labeled and evenly spaced. (a) Draw a number line and plot 4, 5.0, and -3 (b) Draw a number line and plot 0.4 0.105, and 0.9 1 & 1 1 (c) Draw a number line and plot and 8 Answer. C
Answers
Answer:
Julie had 3 1/3cups of flour. A brownie called for 1 1/3 of flour. If julie made one batch of brownies,how many more batches could she make?
Help me please someone for brainliest
Answers
Answer:
I think the answer is 1.5
Step-by-step explanation:
Using Pythagoras theorem
(6r)²= 9²+r²
36r²-r²=81
35r²=81
r²=81/35
r²=2.3
r=√2/3
r=1.5
Harley had $250.00 in her savings account in january. In july, she had $425.00. what is the percentage of increase in her savings?
A.0.017%
B.17%
C.41%
D.70%
Answers
Answer:
d
Step-by-step explanation:
425-250=175
175/250=0.7
70%
Factor 5x+35 . If the expression cannot be factored, write cannot be factored.
Answers
Answer:
5 ( x + 7 )
Step-by-step explanation:
= 5x + 35
= 5 ( x + 7 )
Therefore, after factorizing you will get 5 ( x + 7 )
Answer:
hey , it can be factored:
this is the factored expression:
5(x+7)
School starts in 45 minutes and you live 13 miles from school. What average speed (in miles per hour) would allow you to arrive at school on tim
Answers
Answer:
8.2 minutes
So 13 miles would take you roug.hly 8.2 minutes... so going the average speed limit would get you there very
Step-by-step explanation:
q not answeredplease
Answers
tutor
will first loose the connection
Write an expression to represent the statement 2 times as much as the difference of 1.02 and 0.98
Answers
Answer:
Below
Step-by-step explanation:
the difference of 1.02 and 0.98 :
(1.02 - 0.98)
2 times as much :
2 * ( 1.02-0.98)
Answer:
2(1.02-.98)
Step-by-step explanation:
A package of 3 pairs of insulated socks cost $27.37 what’s the unit price of the pairs of socks
Answers
27.37 divided by 3 = 9.12333….
Simplified it would equal 9.12
Hope this helps :)
Im am not sure how to do this but I wanna say it’s C
Answers
Answer:
The answer is A which is 5/16
solve for m KLM. i have no idea how to do this
Answers
Answer:
75
Step-by-step explanation:
just add them up to get the angle
Which of these is an example of a continuous random variable?O A. Points scored by a football teamB. Speed of a race car during a raceO C. Number of eye blinks in a minuteO D. Number of dogs at a kennel
Answers
In my opinion the right answer is letter B. Because there always be a speed, it will be different at different times.
The others options are not posible because some points are missing and the function will not be continous.
The CFO of International Hardware expects to invest $50,000 of the firm's funds in a long-term investment vehicle at the end of each year for the next five years. She expects that the company will earn 7% interest that will compound annually. What is the value of these funds at the end of the five-years
Answers
The future value of these funds at the end of the five-years is $287,536.95
What is the future value of an annuity?
The future value of annuity , which is a stream of level of cash flows of $50,000 each year is determined using the future value formula of an ordinary annuity bearing in mind that that investment for an ordinary annuity is made at the end of each year rather than at the beginning of each year
FV=PMT*(1+r)^N-1/r
FV=future value of the annuity=unknown
PMT=annual investment=$50,000
r=annual interest rate=7%
N=number of annual investments to be made over 5 years=5
FV=$50,000*(1+7%)^5-1/7%
FV=$50,000*(1.4025517307-1)/0.07
FV=$50,000*0.4025517307/0.07
FV=$287,536.95
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