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

Please help I don’t know these questions

Answers

B
It equal 178
Since the box all side is equal so 10 times 10 =100
And the kite is all triangle
Triangle= (6 times 5)/2
Which is 15
And there’s two so
15+15=30
Do the same for the bottom
(6 times 8)/2
24+24
Than add all up
100+48+30=178

find an equation for the nth term of the sequence -4,-16,-64,-256

Answers

Answer:

this should be -262,144 because its -4^9 so you just keep multiplying by 4 until the ninth which is -262,144

Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1900. How long did each mechanic work?

Answers

55x+90y=1900
x+y=25, x=25-y
55(25-y)+90y=1900
1375-55y+90y=1900
35y=525
y=15
So it is 15 for the 90$ and 10 for the 55$

A new store is handing out small gifts to the customers who come in. Elizabeth is handing out pens of various colors. She has determined that the chance of a customer receiving a blue pen is 0.008. Ricardo is handing out tote bags of various colors He has determined that the chance of a customer receiving a blue tote bag is 0.04. What statement describes the likelihood of a customer getting a blue tote bag or blue pen?

Answers

Answer:

4.8% probability of a customer getting a blue tote bag or blue pen.

Step-by-step explanation:

We have these following probabilities:

0.008 probability of a customer receiving a blue pen.

0.04 probability of a customer receiing a blue tote bag.

What statement describes the likelihood of a customer getting a blue tote bag or blue pen?

Independent events, so

0.008 + 0.04 = 0.048 = 4.8% probability of a customer getting a blue tote bag or blue pen.

C = ?
when d = 25 m.
(C = circumference)
(d = diameter)

Answers

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

If f(x) = x + 2x - 3, what is the value of f(1 + 2)?

Answers

Answer:

6

Explanation:

substituting- f(x)= (1+2) + 2(1+2) -3

3 + 2(3)-3

3+6-3

=6

HOPE IT HELPS

Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x

Answers

Answer: 5.4

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

Solve and graph the inequality.

−x4−6≥−8

Answers

Answer:

Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]

Answer:

-4x ≥ 14

x ≥ -3.5

Graphed (numberline):

<-----------3.5---0------------->

could be x

Answer this correctly I’ll give brainalist + 10 points

Answers

Answer:

50

Step-by-step explanation:

please brainalist

Answer:

x= 60

Step-by-step explanation:

brr 180 degrees total, divided by 3x would be 60

so X=60

Helpppppppppppppppp

Answers

Answer:

∠QRT = 42°

Step-by-step explanation:

arc QT + 2(∠QPT = 2(42°) = 84°

arc QT = arc TQ

arc TQ = 2(∠QRT)

84° = 2(∠QRT)

∠QRT = 42°

what is the sum of 2/5 and 2/5 in simplest form

Answers

Answer:

The answer is 2/5

Step-by-step explanation:

2/5+2/5=4/5=2/5

I think its perpendicular but I want to be sure. Will mark brainliest!

Answers

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

Answer this page: BIG REWARD GRANTED

Answers

Whats the big reward

Answer:

I don't even get what you want us to do

Step-by-step explanation:

Racial dimorphism mesning

Answers

Answer:

Facial sexual dimorphism emerges at puberty: as the size and shape of the male and female faces increase with age, faces begin to show different secondary sexual characteristics (i.e., masculine or feminine).

Dncnfufhcbdjskxbcdjdkcbxbsjsbccbx

A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *

Answers

Answer:

i do not know that one

Step-by-step explanation:

I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished  

Please answer the blanks

Answers

5/6=10/12
10/12=5/6
3/12=9/4
3/4=9/12

Answer:

5/6=10/12 10/12=5/6 3/12=1/4 3/4=9/12

In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074

Answers

Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Mason wants to host a housewarming party. The following equation represents how the cost of party depends on the number of attendees.

The equation is d= 16a
​The variable \mathrm{a}a represents the number of attendees, and the variable d represents the cost in dollars.

Find the number of attendees who could be invited if Mason budgets a total of $80 for his party.

Answers

The answer I got was a=5. Hope this is correct and hope it helped

Which table represents the statement "A computer repairman makes $25 per hour"?

Answers

Answer:

Table number 3

Step-by-step explanation:

25+25=50

50+25=75

Answer:

C

Step-by-step explanation:

For every 1 hour(h) 25 dollars(d) gets added. You can multiply 25 with however many hours you need to get the answer.

example: 4 hours would be 100 because 25×4=100

Jorge has $150 in his savings account. He earns $33 a week mowing lawns. If Jorge saves all of his earnings, after how many weeks will he have$437 saved?

Answers

Answer:

9 weeks

Step-by-step explanation:

used a calculator really easy

please help me on this

Answers

9514 1404 393

Answer:

  10 ft

Step-by-step explanation:

The midsegment length is the average of the other two lengths.

  (QR +PS)/2 = TU

  QR +PS = 2×TU . . . . . . . . . . . . . . . multiply by 2

  QR = 2×TU -PS = 2(14 ft) -18 ft . . . subtract PS; substitute given values

  QR = 10 ft

Cell G: 4.21×10^-3 cm
Cell H: 9.2×10-4 cm

How many times larger is the diameter of cell G than the diameter cell H? Write your answer in standard notation, rounding to the nearest tenth. ​

Answers

Answer:

0.00421 centimeters.

Step-by-step explanation:

thats ur answer

Answer:

I believe that your answer would be 2.18527315×10^-1

Simplified would be 2.2×10^-1

Step-by-step explanation:

I hope this helps

D
A
F
B
C
Which segment is perpendicular to DE?

Answers

Answer:

EF

Because if line EF continued on, it would go across line DE.

Answer:

AD is the answer i would go with but it could be CF or BE

Step-by-step explanation:

what is the answer to 5,082 / 5 =

Answers

Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

Hi. I need help with the following questions. ( These arent multiple choice)

Layout:

1.

2.

3.

Answers

Answer:

The top blank is D. Quadrilateral

The middle blank is B. Parallelogram

The last blank if A. Square

100 - 50 + 4

HELP PLS PLS PLSSSSS

Answers

Answer:

54

Step-by-step explanation:

100-50+4=50+4

=54

.....

calculate 30% of 500 kg​

Answers

150 kilograms is your answer
Answer: 150 kg :D

Have a good day :D

is this right ? if not please help me !


ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

No it’s wrong count down 3 and over 2 ur points should land on a corner

A roulette wheel consists of 18 red slots, 18 black slots, and 2 green slots. A player can wager $1 that a marble will land in a red slot, in which case the player would gain a $1. If the marble lands in a slot that isn't red, then the player loses their $1 wager. Let X represent the player's gain from a random $1 wager on red. Here's the probability distribution of X along with summary statistics:
Lose Win
X = gain (S) -1 1
Р(X) 20/38 18/38
Мean: Ax-$0.05
Standard deviation: ax$1.00
Suppose a player decides to wager $5 instead of winning $5.
Let Z represent the player's gain from a random $5 wager on red. possible outcomes become either losing or , so
What are the mean and standard deviation of Z? dollars?

Answers

Answer:

-$0.26 ; $5

Step-by-step explanation:

Given that :

____________ Lose ______ Win

X =$1 _______ - $1 ________ $1

P(X) _______20/ 38 _____ 18/38

Mean, Ux = - $0.05

Standard deviation, σx = $1.00

If the wager is $5 instead of $1

Mean = Σx*p(x)

Mean = (-5 * 20/38) + (5 * 18/38)

Mean = - 2.6315789 + 2.3684210

Mean (μ) = −0.26

Standard deviation :

Sqrt(Σx²p(x) - μ²)

[(-5^2)*(20/38) + (5^2)*(18/38)] - (-0.26^2)

(13.157894 + 11.842105) - 0.0676

= 24.999999 - 0.0676

= sqrt(24.932399)

= 4.9932353

= 5

The number of calories in a one ounce serving of a certain chicken sandwich is a random variable with mean 110 calories. The number of calories in a full cup of lemonade is a random variable with mean 140 calories. For lunch, you eat one ounce of the chicken sandwich and LaTeX: \frac{1}{2}1 2 cup of lemonade. Let K be the random variable that represents the total number of calories in this lunch. The mean of K is

Answers

Answer:

The mean of K is 180 calories.

Step-by-step explanation:

Mean of a sum of normal distribution:

The mean of a sum of normal distributions is the sums of the mean.

In this question:

Lunch:

One ounce of chicken sandwich, with mean 110 calories.

Half a cup of lemonade, with mean 140/2 = 70 calories.

Let K be the random variable that represents the total number of calories in this lunch. The mean of K is

110 + 70 = 180 calories

The mean of K is 180 calories.

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