Assume that the probability of error-free transmission of a message over a communication channel is p. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that: a) No retransmission is required. b) Exactly two retransmissions are required

Answers

Answer 1

This question is incomplete, the complete question is;

Assume that the probability of error-free transmission of a message over a communication channel is p=0.9. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that:

a) No retransmission is required.

b) Exactly two retransmissions are required

Answer:

a) probability that No retransmission is required is  0.90

b) the probability that exactly two retransmissions are required is 0.009

Step-by-step explanation:

Given the data in the question;

the probability of error-free transmission of a message over a communication channel is p = 0.9

a) probability that No retransmission is required will be;

Let x represent the error-free transmission of a message

Now, the P( error-free_transmission_of_a_message) = 0.90

so;

P( X=0 ) = 0.90( 1 - 0.90 )⁰

P( X=0 ) = 0.90( 0.1 )⁰

P( X=0 ) = 0.90( 1 )

P( X=0 ) = 0.90

Therefore, probability that No retransmission is required is  0.90

b) Probability that exactly two retransmissions are required will be;

P( X=2 ) = 0.90( 1 - 0.90 )²

P( X=2 ) = 0.90( 0.1 )²

P( X=2 ) = 0.90( 0.01)

P( X=2 ) = 0.009

Therefore, the probability that exactly two retransmissions are required is 0.009


Related Questions

i really need help with this!​

Answers

Note: we can see that if we complete the circle, the radius is 15 cm.

First find the area of the square.

15*15=225 cm^2

Now find the area of the white area, which is a quarter circle.

S PR = 225π/4

The area of the shaded area should then be 225-(225/4)π cm^2

If we take 3/14 for π, then we get answer

225-176.625

=48.375 cm²

In ΔSTU, s = 150 cm, t = 430 cm and u=470 cm. Find the measure of ∠U to the nearest degree.

Answers

Answer: 96∘

Step-by-step explanation:

The measure of angle  U is 96°.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

s = 150 cm

t = 430 cm

u = 470 cm

The Cosine rule of a triangle.

a² = b² + c² - 2bc Cos A

Now,

u² = s² + t² - 2st Cos U

Cos U = (s² + t² - u²) / 2st

Cos U = (22500 + 184900 - 220900) / 129000

Cos U = -0.10

U = 95.7

U = 96°.

Thus,

The angle U is 96°.

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Fill in the y-value for each box in the t-chart using the equation below !?

Answers

3,4,7 just plug the x into the equation

Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours

Answers

Answer:

b.5 hours

520-195=325

325/65=5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

........................ .....

Inverse of functions:

Can someone please help me I’ve been trying to do this answer for the past hour and I still can’t solve it.

Answers

Answer:

I'm not sure sorry!! :(

Step-by-step explanation:

( 8 x 10^4) - ( 4 x 10^2) give the answer in standard form

Answers

Answer:

7.96x10^4

Step-by-step explanation:

You will get 796000 and you just move the decimal point infront to get 7.96x10^4

pls helps me solve




and this part is because it needs to be 20 characters long

Answers

Answer:

k = 22/3

Step-by-step explanation:

Cross multiply.

6 * k = 4 * 11

Divide both sides by 2.

3k = 22

Divide both sides by 3.

k = 22/3

answer: k= 22/3 have a good day

help, please This is due in 5min's

Answers

Answer:

51

Step-by-step explanation:

The answer is 51 because since it is a 90 degree angle,you have to subtract 24+7 from 90 and that's your answer.

Maria invest 16,000 at 9% simple interest for five years. What is the total amount in the account at the end of the five year period

Answers

Answer:
23,200

Explanation:
Use the formula for the amount after simple interest:
A = P(1 + rt)
“A” is the (final) amount.
“P” is the principal, or starting amount.
“r” is the interest rate in decimal form.
“t” is time, usually in years.

We are given the following:
P = 16,000
r = 9% = 0.09
t = 5
We are solving for “A”.

Substitute values for “P”, “r” and “t” into the formula to find “A”.
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200

Therefore, the total amount in the account at the end of the five year period is 23,200.

Answer:

23,200

Step-by-step explanation:

A = P(1 + rt)

A = 16,000(1 + (0.09)(5))

Simplify brackets first

A = 16,000(1 + 0.45)

A = 16,000(1.45)

A = 23,200

Pls give me the answer.

Answers

Answer:

To what question?

Step-by-step explanation:

It takes 2 workers 6 days to paint a mansion. How many days would it take 4
workers to do the same job?

Answers

Answer:

2 workers = 6 days

4 workers = 3 days

Step-by-step explanation:

If it takes 2 workers 6 days, if you seep up the process with 4 workers, you would divide the days by 2 because you multilpied the workers by 2. So, it would take 3 days with 4 workers. I hope that makes sence.

hangisi gürültüye sebep olur?
A- Motor sesi
B- Su sesi
C- Kuzu sesi​

Answers

Answer:

a motor sesi..........

saul's makes green paint by mixing bule paint and yellow paint. For every 4 gallons of green paint, he uses 3 gallons of bule paint. what is the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green​

Answers

Answer:

12 gallons of blue 4 gallons of yellow

WILL BRAINLIST IF CORRECT!
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48

How many solutions does this equation have?

Answers

Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.

Incorrect, because when solving 8x=56 you need to divide by 8 on both sides leaving the answer as x=7. Therefore, Sasha is incorrect.

12 km What is the length of the hypotenuse?​

Answers

Answer:

We need the picture of the shape. The hypotenuse it the longest side. Usually it gives you the hypotenuse. Message me if you need some help.

Step-by-step explanation:

Use a system of equations to solve 3x+6=6 by graphing on a separate sheet of paper.
*fill in question marks below please*
x=? y=?
so, (?, ?)

Answers

Step-by-step explanation:

A bro WHAT IS that I NEED POINT

The equation is solved algebraically and graphically above.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the equation as follows -

3x + 6 = 6

The given equation is -

        3x + 6 = 6

        3x = 6 - 6

        3x = 0

        x = 0

Graphically, it can be solved as shown in the image attached.

Therefore, the equation is solved algebraically and graphically above.

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To cut a 4 inch ribbon into 7 equal
Lengths what would be the length of each ribbon after cutting

Answers

Answer:

0.5714285714

Step-by-step explanation:

4/7 = 0.5714285714

i need help finding the answer for this question . asap . 15 points

Answers

Answer:

-2ab^5 (1+2a^2b)  

Step-by-step explanation:

(3x + 3)(2x + 6) =
(2x + 1)(x - 2) =
(x - 3)(x + 4) =
(2x - 4)(x - 5) =
(x + 3)(x + 2) =
(x + 2)(x + 2) =
(x + 3)(x - 3) =
(2x³ + 1)(x - 4) =

Answers

Step-by-step explanation:

step 1. use Foil to multiply the polynomials.

step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.

step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.

step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 13 HCF of water is
$34.58, and the cost for using 24 HCF is $53.83. What is the cost for using 19 HCF of water?

Answers

Answer:

The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)

---------

The cost for using 28 HCF of water is 39.49, and the cost for using 47 HCF is 65.14.

---

You have 2 points: (28,39.49) and (47,65.14)

slope = (65.14-39.49)/(47-28) = 1.35

y = mx+b

39.49 = 1.35*28 + b

b = 1.69

Step-by-step explanation:

C(x) = 1.35x + 1.69

--------------------------

What is the cost for using 32 HCF of water?

C(32) = 1.35*32 + 1.69

C(32) = $44.89

At the zoo 1/9 of the park is set aside for the monkeys. There are 4 different monkeys, each with an equal-sized area. What fraction of the zoo is set aside for the one monkey area?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

1/9 divided by 4

is 17.61 rational or irrational

Answers

Answer:

It is an Irrational Number

Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin.
Find the displacement vector of the object.
d = 〈 _,_ 〉
Find the work done in moving the object.
W = ___ Joules

Answers

Answer:

-3,9

30

Step-by-step explanation:

Edge 2021

The displacement is (-3, 9)

Work done= 30 Joules

What is vector?

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.

Given:

F= (-1, 3)

point (3, -9)

So, displacement from origin to (3, -9)

d=  (0-3, 0-(-9))

d= ( -3, 9)

Work done = F. d

= 3 + 27

= 30 joules.

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Determine whether the given value is a statistic or parameter a survey found at 97% of all respondents have jobs

Answers

Answer:

b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample

Help&EXPLAIN
==============

Answers

Answer:

A = 108 in.²

Step-by-step explanation:

The figure can be decomposed into 3 rectangles.

✔️Area of rectangle 1 = L*W

L = 8 in.

W = 6 in.

Area = 8*6 = 48 in.²

✔️Area of rectangle 2 = L*W

L = 10 in.

W = 4 in.

Area = 10*4 = 40 in.²

✔️Area of rectangle 3 = L*W

L = 5 in.

W = 4 in.

Area = 5*4 = 20 in.

✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²

what are the equal factors to 10 to the second power

Answers

Answer:

100 i think

Step-by-step explanation:

Answer:

inequality 1 has a solution of 5

Step-by-step explanation:

help me pls i need help

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

B

Step-by-step explanation:

This problem is to compare the value of the two numbers. Obviously, 0.21>0.012

Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant

Answers

Answer:

20 cookies

Step-by-step explanation:

Range of a data set plotted on a box plot = the maximum value - the minimum value

The maximum value is indicated by the whisker to your extreme right = 25

The minimum value is indicated by the whisker to your extreme left = 5

Range = 25 - 5 = 20

A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data for a particular clinic follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan):
2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97, 2.02.
a. Find a 95% two-sided CI on the mean number of CAT scans performed each month at this clinic.
b. Historically, the mean number of scans performed by all clinics in the system has been 1.95. If there any evidence that this particular clinic performs more CAT scans on average than the overall system average?

Answers

Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

[tex]\overline{x}=\frac{\Sigma x}{n}[/tex]

[tex]\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}[/tex]

[tex]\overline{x}=[/tex] 2.08

Now, we estimate standard deviation:

[tex]s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }[/tex]

[tex]s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }[/tex]

s = 0.1564

For t-score, we need to determine degree of freedom and [tex]\frac{\alpha}{2}[/tex]:

df = 12 - 1

df = 11

[tex]\alpha[/tex] = 1 - 0.95

α = 0.05

[tex]\frac{\alpha}{2}=[/tex] 0.025

Then, t-score is

[tex]t_{11,0.025}[/tex] = 2.201

The interval will be

[tex]\overline{x}[/tex] ± [tex]t.\frac{s}{\sqrt{n} }[/tex]

2.08 ± [tex]2.201\frac{0.1564}{\sqrt{12} }[/tex]

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

Sally says it is possible to draw a triangle with these side length
5cm, 5cm, 12cm
Is she correct?
Explain how you know

Answers

Step-by-step explanation:

The longest side of a triangle cannot be longer than the sum of the two shorter sides. So if the 5cm and 12cm sides are the shorter sides, the third one cannot be longer than the 17cm. ... So 12cm is not longer than 5cm plus the length of the third side, and therefore the missing side cannot be shorter than 7cm.

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