1 answer

16. In a noisy communication system transmitting binary digits (zeros and ones) the sender may send...

Question:

16. In a noisy communication system transmitting binary digits (zeros and ones) the sender may send a digit (for example, 1) and the receiver may receive the other digit (for example, 0). Let A be the event a 1 is sent and let B be the event a 1 is received. Hence T is the event a O is sent and B is the event a 0 is received. Assume that Suppose further that PrA-5. Give a physical interpretation of the forego- ing conditional probabilities. Determine the probabilities Pr(AB), Pr(ג PAlB], and PB These conditional probabilities are the ones that the receiver might want to know to help in interpreting a message
16. In a noisy communication system transmitting binary digits (zeros and ones) the sender may send a digit (for example, 1) and the receiver may receive the other digit (for example, 0). Let A be the event "a 1 is sent" and let B be the event "a 1 is received." Hence T is the event "a O is sent" and B is the event "a 0 is received." Assume that Suppose further that PrA-5. Give a physical interpretation of the forego- ing conditional probabilities. Determine the probabilities Pr(AB), Pr(ג PAlB], and PB These conditional probabilities are the ones that the receiver might want to know to help in interpreting a message

Answers

here P(B)=P(A)*P(B|A)+P(Ac)*P(B|Ac)=0.5*(1-0.01)+0.5*(0.01)=0.5

hence P(Bc)=1-P(B)=1-0.5=0.5

hence

P(A|B)=P(A)*P(B|A)/P(B)=0.5*(1-0.01)/0.5 =0.99

P(Ac|B)=P(Ac)*P(B|Ac)/P(B)=0.5*(0.01)/0.5=0.01

P(A|Bc)=P(A)*P(Bc|A)/P(Bc)=0.5*0.01/0.5=0.01

P(Ac|Bc)=P(Ac)*P(Bc|Ac)/P(Bc)=0.5*0.99/0.5=0.99

.

Similar Solved Questions

1 answer
14 pores The Stanford Un e sty Hekrt Transp ant Study was to ducted to deter...
14 pores The Stanford Un e sty Hekrt Transp ant Study was to ducted to deter ne whet er e pe me ta heart tra spart program ncreased ega tach pate e emer ng the progam as des aled an aEce heart t splant canádate, meri g that he was grave il and would most ike tom s new hert Pst entl the trem e...
1 answer
L06-4 Determining an Unknown Number of Periods (Class Activities #5) You want to invest $10,000 today...
L06-4 Determining an Unknown Number of Periods (Class Activities #5) You want to invest $10,000 today to accumulate $16,000 for graduate school. If you can invest at an interest rate of 10% compounded annually, how many years will it take to accumulate the required amount? Future value Present value...
1 answer
For Problems 1 and 2, illustrate and explain (and label) the effects of the change in...
For Problems 1 and 2, illustrate and explain (and label) the effects of the change in the determinant of demand or supply on the market equilibrium price and quantity, ceteris poribus (c. p.). For each change: • illustrate the effect on the demand or supply curve and clearly label the new curve...
1 answer
Microbiology: based on these results which bacterium is truly motile? how do you know? MAT SA
microbiology: based on these results which bacterium is truly motile? how do you know? MAT SA...
1 answer
Required information The following are the consolidated statement of earnings and the balance sheet of Home...
Required information The following are the consolidated statement of earnings and the balance sheet of Home Depot, Inc and Subsidiaries. THE HOME DEPOT, INC. AND SUBSIDIARIES CONSOLIDATED STATEMENTS OF EARNINGS Fiscal Year Ended(1) amounts in millions, except per share data January 31, 2016 ...
1 answer
In the section of the circuit shown, the current I2 = 0.250 A . How much...
In the section of the circuit shown, the current I2 = 0.250 A . How much current is flowing through the resistor R? 2.5 A 100 12...
1 answer
How do you evaluate #9^{2}-7^{2}2^{2}\times 3^{2}#?
How do you evaluate #9^{2}-7^{2}2^{2}\times 3^{2}#?...
1 answer
On June 1, Cline Co. paid $954,500 cash for all of the issued and outstanding common...
On June 1, Cline Co. paid $954,500 cash for all of the issued and outstanding common stock of Renn Corp. The carrying amounts for Renn’s assets and liabilities on June 1 follow: Cash $ 171,000 Accounts receivable 274,500 Capitalized software costs 307,000 Goodwill 148,000 Liabilities (156,000 ...
1 answer
The following information is related to Stellar Company for 2017. Retained earnings balance, January 1, 2017...
The following information is related to Stellar Company for 2017. Retained earnings balance, January 1, 2017 $981,230 Sales Revenue 26,181,600 Cost of goods sold 16,144,500 Interest revenue 71,400 Selling and administrative expenses 4,762,000 Write-off of goodwill 836,600 Income...
1 answer
1 . As long as we recognize that by inflation we mean a ……… .. and...
1 . As long as we recognize that by inflation we mean a ……… .. and ……… .. increase in the price level. Please choose one: a. Sticky - flexible b. Sudden –sharp c. Continually - slow D. Rapid - Continually 2 . Expansionary fiscal policy means a rise in ...
1 answer
How far do they fall in this interval?
Ink droplets in an ink-jet printer are ejected horizontally at 12 and travel a horizontal distance of1.0 to the paper.How far do they fall in this interval?h=m...
1 answer
1. Which of the following is an aldohexose? 2. Which of the following is a cetopentose? 3. Which of the following best d...
1. Which of the following is an aldohexose? 2. Which of the following is a cetopentose? 3. Which of the following best describes the relationship between D-glucose and D-fructose? 4. Which of the following is (are) L-alfohexose(s)? 5. Which of the following aldohexose(s) is (are) dextrorotatory? 6. ...
1 answer
6.2-1. Sample functions in a discrete random process are constants, that is X(t) = C =...
6.2-1. Sample functions in a discrete random process are constants, that is X(t) = C = constant where C is a discrete random variable having possible values la and c) = 3 occurring with probabilities 0.6, 0.3, and 0.1, respectively. (a) Is XC) deterministic? (b) Find the first-order density function...
1 answer
If you can add details feel free too. i am stuck 7. [12 points] An electron...
if you can add details feel free too. i am stuck 7. [12 points] An electron (with a charge of -e and a mass of 9.11 x 103 kg) enters a uniform electric field of-177) kN/C at x=0, y-0 with an initial velocity of +4.37i Mm/s. What is the value ofy when x 16,5 cm?...