A digital communication channel transmits bits of information, usually designated as 0 and 1. If a sender transmits a 0, he/she hopes the recipient receives a 0. If a sender transmits a 1, he/she hopes that the recipient receives a 1. Unfortunately, this is not always the case. Suppose on a certain transmission line, a transmitted 0 is received correctly 90% of the time (10% of the time a 1 is received), and a transmitted 1 is received correctly 74% of the time. (26% of the time a 0 is received.) It is known that on this transmission line, 80% of all bits transmitted are 0 bits. A randomly selected transmitted bit is examined. Say its value is X. The bit received is Y. a.What is the probability that X

Answers

Answer 1

Answer:

a) 0.80

b) 0.72

c) 0.02

Step-by-step explanation:

It is assumed that

X = Bit transmitted

Y = Bit received

[tex]X^{0}[/tex] = Transmissted bit is 0

[tex]X^{1}[/tex] = Transmissted bit is 1

[tex]Y^{0}[/tex] = Received bit is 0

[tex]Y^{1}[/tex] = Received bit is 1

As per the given condition

P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 90%

P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] = 100% - 90% = 10%

P [ [tex]Y^{1}[/tex] | [tex]X^{1}[/tex] ] = 74%

P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 100% - 74% = 26%

P [ Tramitted bits are 0 ] = 80%

Now calculate each situation

a)

As all the transmitted bits are o has possibilit of 80% then

P [ X = 0 ] = P [ [tex]X^{0}[/tex] ] = 80% = 0.80

b)

P [ X = 0, Y = 0 ] = P [ [tex]X^{0}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] x P [ [tex]X^{0}[/tex] ]  = 90% x 80% = 72% = 0.72

c)

P [ X = 1, Y = 0 ] = P [ [tex]X^{1}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] x P [ [tex]X^{1}[/tex] ]  = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02


Related Questions

MK=24, JL= 20, And m

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Answer:

Step-by-step explanation:

Answer: need a pic or more info

Step-by-step explanation:

There are 12 cupcakes. 3⁄4 of them have pink icing.
1⁄3 of the cupcakes with pink icing have sprinkles. How many of the cupcakes have pink icing and sprinkles?

Answers

Answer:

3 of them should have sprinkles.

Step-by-step explanation:

Pythagorean theorem

Answers

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Used to find side lengths of right triangles, a and b represent sides, while c represents the hypotenuse.

Which expressions are equivalent to the one below? Check all that apply. 9^x
a. 3^x•3^x
b. 3•3^2x
c.3^2•3^x
d.(3•3)^x
e.3^2x
f. 3•3^x

Answers

Answer:

using law of indices, A,D and E.

27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle​

Answers

Answer:

[tex]Area = 3500[/tex]

Step-by-step explanation:

Given

[tex]Length : Breadth = 7 : 5[/tex]

[tex]Perimeter = 240m\\[/tex]

Required

Determine the area

The perimeter is:

[tex]Perimeter = 2(Length + Breadth)[/tex]

This is then represented as:

[tex]240 = 2(7x + 5x)[/tex]

[tex]240 = 2 * 12x[/tex]

[tex]240 = 24x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = 7x * 5x[/tex]

[tex]Area = 7*10 * 5*10[/tex]

[tex]Area = 3500[/tex]

Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?​

Answers

1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg

He used 7/27 kg of sugar.

please help me !! find the missing side and round to the nearest tenth !!

Answers

The answer is 22.8
Cos 64 = adj./hypotenuse
Cos64=10/x
X(cos64)=10
X= 10/cos64
= 22.8
please look at the photo above, and please give thanks.

hence: x = 22.8

potatoes cost $0.85 per pound. Luke bought 2.75 pounds of potatoes. How much did he pay for the potatoes? Round to the nearest cent.
I know the answer is 2.34 (approximately) but please explain how you get from 2.3375 to 2.34

Answers

Answer:

you round the .0075 up, getting 2.34

Step-by-step explanation:

what shape can be formed from the fowllowing net?​

Answers

Answer:

rectangular prism

Step-by-step explanation:

25X -5 =
10 + 70x=
6y + 14-8y=

Helppp I have 3 more Minutess:(

Answers

Answer:

X=-5

x=-7

Y=12

Step-by-step explanation:

I need help I can’t cuaet understand this

Answers

Answer:

B, 140

Step-by-step explanation:

Alright so if you know to do volume this should be a breeze!

First off what you want to do is find the volume of the outside prism.

V=whl=4·5·8=160

160

Then find the smaller prisms volume.

V=whl=1·5·4=20

20

Minus the smaller from the bigger

160-20=140

The answers B!

Use the distributive property to write an equivalent expression. 4(x+2)

Answers

Answer:

4x+8

Step-by-step explanation:

4*x = 4x

4*2 = 8

4x+8

The equivalent expression using the distributive property is 4x + 8.

How to determine the distributive property to write an equivalent expression.

To use the distributive property to write an equivalent expression for 4(x + 2), we need to multiply each term inside the parentheses by the factor outside.

Using the distributive property, we multiply 4 by both x and 2:

4(x + 2) = 4 * x + 4 * 2

Simplifying further:

4(x + 2) = 4x + 8

Therefore, the equivalent expression using the distributive property is 4x + 8.

Learn more about equivalent expression at https://brainly.com/question/15775046

#SPJ2

I need help with this please!!

Answers

Answer:

...

Step-by-step explanation:ok first off im not good at math try ur best

everybodys smartVwV

4:08 - 1:15 =
time calcuation

Answers

4:08 - 1:15 = 2:53
time calculation

Answer:

2:53

Step-by-step explanation:

Solve for x.
X -8 = -11

PLZ I NEED ANSWER ASAP

Answers

move -8 to the other side n it becomes positive
x=-11+8
x=-3

Answer:

i had this text by ms putz u prob know her she ur teacher that answer is -3 because if you subtract -8 from -11  you will get -3

Step-by-step explanation:

A bank account pays 0.5% monthly interest. If $500 is put in the account, what will the balance be at the end of one year, assuming no additional deposits or withdrawals are made? Do not include units ($) in your answer.

Answers

The balance at the end of one years is; $502.5. The equation that that represents the balance in the account is $500 x (1.005)^1

What will be the balance of the account?

The amount of money in the bank account would grow at an exponential rate. then the formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value

P = Present value

R = interest rate

N = number of years

We are given that bank account pays 0.5% monthly interest. If $500 is put in the account, it will the balance be at the end of one year,

$500 x (1 + 0.5/100)^1

$500 x (1.005)^1

= $502.5

To learn more about future value, please check: brainly.com/question/18760477

#SPJ1

Answer: $530.84

Step-by-step explanation: The principal is $500 with 0.5% added MONTHLY. One year has 12 months so we must calculate the interest for 12 months.


$500(1.005)^12 = $530.838 which rounds to $530.84

Which problem is even below
4,323
944
291
31

Answers

944 let me know if that’s right

what is the square root of 25? =7

Answers

square root of 25 is 5

Answer: 625

Step-by-step explanation:

In Vedic mathematics, the numbers containing 5 in the units place can be squared by taking the remaining digit/s and multiply by its successor and then add 25.

Square of 25 is 2*3 = 6 and attach 25, So 25^2 = 625.

Square of 35 is 3*4 = 12 and attach 25, So 35^2 = 1225.

Square of 125 is 12*13 = 156 and attach 25, So 125^2 = 15625.

Square of 95 is 9*10 = 90 and attach 25, So 95^2 = 9025.

From the time I had answered the question asking for the square of 25, the question now appears as what is the square root of 25.

I will answer the revised question as square root of 25 is +5 or -5.

A right triangle is a triangle that includes one right angle, measuring 90
degrees. It doesn't matter which of the three angles is 90 degrees. As long as
one of them is, it's a right triangle.
What does a triangle need to have in order to be a right triangle?
A
two sides of equal length
B
one 90 degree angle
C
one obtuse angle
D
three sides of equal length

Answers

Answer:

B) one 90 degree angle

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i know

3.663 rounded to the nearest tenth of an ounce

Answers

Answer:

the answere is 3.7

Step-by-step explanation:

4. Find the following function values.


(3)/ (3)

( (2))

f(f'(-4))

g(x+2)​

Answers

Answer:

1. 9

2.2

3.0

4.gx +2g

Step-by-step explanation:

convert 2 1/2 cups to pints

Answers

Answer:

2 1/2 cups = 1.25 or 1 and 1 quarter liquid pint (U.S)

Step-by-step explanation:

si en una canasta saben 30 limones ¿ Cuantos canastas nesesitamos para guardar 75 ? inversa ​

Answers

Answer:

3

Step-by-step explanation:

¡¡espero que esto ayude!!

Cali records the number of articles she
writes each month for a year.
Articles Each Month
5
5
3
6
2
5
5
4
4
7
9
2
In what percent of the months does
she write MORE than 3 articles?
%

Answers

Answer: 75%

Step-by-step explanation:

9/12 months are number larger than three. 9/12 simplified is 3/4 and 3/4 is 75%

75%

There are 12 months. She wrote more than three articles 9 out of the 12 months. To find the percentage you need to divide. 9 divided by 12 is .75, to convert a decimal to a percent you have to move the decimal 2 places to the right. Therefore, you get 75%

If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?

A. 13 cubic ft
B. 7 cubic ft
C. 6 cubic ft
D. 8 cubic ft

Answers

Answer:

C; 6 cubic ft.

Step-by-step explanation:

theres 6 cubes and each are 1 feet 2^ so therefore 6 times 1 = 6 ft. 2^

The answer is c because there is 6 cubes

If f(x)=3x^2 and g(x)=4x+2 what is the value of (f+g)(-1)

Answers

Answer:

1

Step-by-step explanation:

first, you have to combine the two equations.

f(x)+ g(x)

3x^2 +4x+2= (that haha)

now substitute -1 for x

3(-1)^2 +4(-1)+2

(3×1) +(-4)+2

3-4+2

=1

HOPE IT HELPS YOU :)

Can someone please help me I need help

Answers

Answer:

1/2

Step-by-step explanation:

area of entire rectangle = 20(8) = 160 sq in

the two triangles are congruent and each have a base of 10 and a height of 8, so their combined area is 80

80/160 = 1/2


Cho and three friends made $217 mowing
lawns. How much will each friend get
when they split the money evenly? Write
your answer as a mixed number.

Answers

Answer:

72 1/3

Step-by-step explanation:

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

Answer:

91m + 13n + 52

Step-by-step explanation:

13(n + 4 + 7m)

= (13) (n+4+7m)

= (13) (n) + (13) (4) + (13) (7m)

= 13n + 52 + 91m

= 91m + 13n + 52

hope this helps and is right :)

p.s. i really need brainliest

Answer:

13n + 52 +91m

Step-by-step explanation:

As far as I can tell, all you are doing is distributing the 13 into the numbers. You multiply 13* 1n, 13*4, and 13*7m to give you 13n +52+91m.

Help I need the right answer

Answers

Answer:

Daisy ran the greatest distance while Carlos ran the shortest

Step-by-step explanation:

In fraction the bigger the number looks the smaller it actually is because it fraction you splitting things into smaller halfs not increasing them

This will be easy if we write them in decimal
1/3 = 0.333
3/5 = 0.6
7/10= 0.7
1/2=0.5
The largest distance is 0.7 who is Carlos
And the lowest one is 0.333 who is Angie
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