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

Use the Distance Formula to find the distance between (5. – 4) and (0.8).

Answers

Answer:

0.8

Step-by-step explanation:

[tex]d = s \times t[/tex]

Given the points (8,9) and (2,7) find the slope M=

Answers

Answer:

1/3

Step-by-step explanation:

7-9=-2

2-8=-6

2/6 is 1/3 when simplified

Douglas works for a racing car team.
The team is practising at a racing circuit
The length of the racing circuit is 4.8 kilometres.
The team car takes 2 minutes to go once round the racing circuit.
(a) Work out the average speed of the team car.
Give your answer in kilometres per hour.
(3)
Write your answer in the box below.
kilometres per hour
Show your working clearly in the
The working box can be moved
Working Box
(b) Use estimation to show a check of your answer.
(1)
Write your check in the box below.

Answers

Answer: the answer is c

Step-by-step explanation:

Help&EXPLAIN

What is the volume of a triangular pyramid that is 6 inches tall and has a base area of 7 square inches ?

Answers

Step-by-step explanation:

answer is 14 in ^3 . hope u get it

There is 12/15 of pizza left. How many 4/10 pieces can be made from the leftover pizza?​

Answers

Answer:

there will be 1/5 left over pizza to make a nother pizza. this is making me hungry.

Supersonics Records plans to market a new record for a comeback artist nationwide. Management believes that there is a 70% chance that the new record will be a hit and, therefore, a 30% chance that the new record will be a miss. However, before resources are committed to market this new record nationwide, management will ask Mr. Deejay, a well-known authority in the music scene, to predict whether the new record will be a hit or a miss. Mr. Deejay's past predictions were quite impressive-che correctly predicted a hit record 80% of the time and incorrectly predicted a hit record only 10% of the time. Let H = The new record is actually a hit M = The new record is actually a miss DH = Mr. Deejay predicts the new record will be a hit Therefore, P(H) = 0.70 P(M) = 0.30 P(DH/H) = 0.80 P(DH/M) = 0.10 Based on these information, what is P(H and DH)? (That is, what is the probability that the new record is actually a hit (H) AND Mr. Deejay predicts the new record will be a hit (DH)?)
A. 0.56
B. 0.59
C. 0.95
D. Not enough information given to answer this question
E. None of the above

Answers

Answer:

A. 0.56

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

We want to find [tex]P(H \cap DH)[/tex].

We can relate the numbers using [tex]A = H, B = DH[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(DH|H) = \frac{P(DH \cap H)}{P(H)}[/tex]

P(H) = 0.70 , P(DH/H) = 0.80

So

[tex]P(DH \cap H) = P(DH|H)*P(H) = 0.8*0.7 = 0.56[/tex]

The correct answer is given by option A.

Please help me find all the missing angles

Answers

Answer:

Look at image I attached below.

Step-by-step explanation:

Important points to memorize when finding missing angles like these:

Two angles directly across from each other, not next to, are equal. All angles that are on one side of a straight line add up to 180°, because a straight line has an angle measure of 180°.A full spin-around equals 360°. All angles in any triangle add up to 180°.

When you know all these important rules, the rest is just a matter of adding and subtracting.

Which number line shows the solution to x>7?

Answers

Answer:A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Which of the following methods would be the easiest to use to solve 2x2 + 4x — 7 = 0?
A factoring
B All three methods would be easy and effective.
C using the quadratic formula
O isolating the x2 term and finding the square root of both sides

Answers

Answer: x=0.75

Step-by-step explanation:

The students will place a 10-inch ribbon on each stalk so that they can write the year and the height of the tree on it for reference. They will plant all 50 trees.

Answers

Answer:

i can´t enter the page

Step-by-step explanation:

I really need this answer please help ​

Answers

I’m not completely sure but I think the answer is C.

What is the difference in length between the longest meteor and the shortest meteor? (4 points)

A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.

a
one and five eighths inches

b
two and one eighth inches

c
five and one eighth inches

d
five and five eighths inches

Answers

Answer:

the answer is one and five eights

Step-by-step explanation:

1 7/8 - 2/8 = 1 5/8

Answer:

The answer is A

Step-by-step explanation:

1 7/8 - 2/8 = 1 5/8

pls mark me as brainlest

math questions . 6th grade . please help 20 points and brainliest!

Answers

Answer:

y/9

g - 5

(6 * w) - 4

7 + (3g)

64/f

Step-by-step explanation:

For these questions, make sure to follow the order shown.

1. quotient is the answer of a division question, so it would be y/9

2. Difference is the answer of a subtraction question, so it would be g - 5

3. Product is the answer of a multiplication question, so it would be (6 * w) - 4

4. Remember, follow the order. The variable 'd' represents your dog's weight, so it would be 7 + (3g)

5. Remember when you are trying to find individual costs from a group payment, you have to divide the total by how many people there are. So, the variable 'f' represents how many friends were in the group, so it would be 64/f

Hope this helps :)

Answer:

1) [tex]\frac{y}{9}[/tex]

2) 2g - 5

3) 6w - 4

4) let d = dog's weight and m = my weight

      3d+7= m

5) let g = number of friends and c = cost per person

      [tex]\frac{64}{g}[/tex] = c

Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on
Solve and graph the following inequality: 4x + 5 > 13

Answers

Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

[tex]\frac{4x}{4}\geq \frac{8}{4}[/tex]

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

I will gicve you 80 points if answered correctly

Answers

Dhdufjdifbfjficicnficickgjtkfocojfbfncixind

Answer:

3. A = (0,-3)

   B = (4,-2)

    C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

    C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Name at least 5 angles for this diagram

Congruent Angles
Vertical Angles
Adjacent Angles
Complementary Angles
Supplementary Angles

Answers

Answer and Step-by-step explanation:

Question 3.

Angle HKL is supplementary to Angle HKJ

Angle K is vertical to Angle K

Angle HKL is adjacent to Angle HKL

Angle K is congruent to Angle K

Question 4.

Angle RUS is supplementary with Angle RUV

Angle RUS is vertical to Angle VUW

Angle WUT is adjacent with Angle RUT

Angle RUS is complementary with Angle TUS

Angle WUT is congruent to Angle RUT

Angle WUS is vertical to angle VUR

#teamtrees #PAW (Plant And Water)

write an exponential function y=ab^x for a graph that includes (2,4) and (3,16)

Answers

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

 2 = ab2 and 4 = ab3   Solve each equation for a.

 2⁄b2    and 4⁄b3 = a    

Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2    

Divide both sides by b2

 2b = 4      

a = 2/4 = 1/2

b = 2

 y = 1 (2)x

2

Hope it helps

Please mark me as the brainliest

Thank you

9514 1404 393

Answer:

  y = (1/4)4^x

Step-by-step explanation:

In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...

  y = y1·(y2/y1)^((x -x1)/(x2 -x1))

Using the given points, this becomes ...

  y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)

We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.

  y = 4·(4^x)(4^-2) = (4^-1)(4^x)

  y = (1/4)(4^x)

Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x-4
h(x) = 3/4x
h(x) = 1/4x

Answers

I guess it’s probably B

The function .... is symmetric with respect to what ?

Answers

Answer:

Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry

Can someone please tell me if this is right or what the right answer is pleaseeeeee

Answers

D.

Step-by-step explanation:

You've got it right, the entire graph goes 3 units down, and shifted 1 to the left by p(x+1).

A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an algebraic expression that represents the number of children in each room.

Answers

Answer:

Number of children in each room = c / 3

Step-by-step explanation:

Given:

Number of rooms in care center = 3

Number of children attend the center = c

Find:

Number of children in each room

Computation:

Number of children in each room = Number of children attend the center / Number of rooms in care center

Number of children in each room = c / 3

Someone help me with this math problem

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear equations.

To get value of y, we equate the equation to Zero.

hence,

4.5(6y-8.8)/3 = 0

===> 6y -8.8 = 0

===> 6y = 8.8

==> y = 8.8/6

==> y = 1.466

There are 26 songs in a playlist. Jackson adds some more
songs to the playlist. Which equation models how many
songs a are in the playlist after Jackson adds s more songs
to the playlist?

Pls I need help with it

Answers

26 + S= new number of songs
If that isn’t looking for I would show a picture of the page.

Helppppppp I need help on this question pleaseeeeeeeeeeeeeee

Answers

Answer:

r=22

Step-by-step explanation:

A Monte Carlo experiment is a statistical analysis that uses repetitive random sampling to solve a problem.

a. True
b. False

Answers

Answer:

True

Step-by-step explanation:

In the Monte Carlo simulations process, the probability of outcomes is determined on the basis of repeated sampling for the outcomes in a process which can not be determined easily due to several random variables involved in the process. This techniques helps in determining the risk, uncertainty in prediction and forecasting models.

Nine more than the quotient of a number and 5 is -22

Answers

Answer:

number is -155

Step-by-step explanation:

let the number equal 'x'

quotient means divide

nine more means plus 9

quotient of a number and 5 means x divided by 5

9+ x/5 = -22

now to solve for x

x/5 = -31

x = -155

Can someone help me I’ll give brainlist

Answers

What’s a brain list

At a​ school, 153 students play at least one sport. This is 75​% of the students at the school. How many students are at the​ school?

Answers

Answer:

204 people

Step-by-step explanation:

i used a calculator

8. A bag contains 12 red tiles, 2 blue tiles, and
1 yellow tile. Betty will draw two tiles from
the bag one at a time without replacement.
What is the probability that she will draw a
red tile and then a yellow tile?

Answers

Answer:

12 over 15 and 1 over 15 i think

Step-by-step explanation:

guys please HELP ASAP!!!!!!!

Answers

R(9,0)
S(8,-4)
T(7,4)
V(6,0)
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