The probability that a bit transmitted through a digital transmission channel is received in error is...
The probability that a bit transmitted through a digital transmission channel is received in error is 0.1. Assume that the transmissions are independent events, and let the random variable X denote the number of bits transmitted UNTIL the FIRST error.
(a) What is the name and parameter(s) of the probability distribution of X?
(b) Find mean and variance of X.
(c) Find P(X ≥ 2).
(d) Find P(X ≥ 4|X > 2).
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The probability that a bit transmitted through a digital
transmission channel is received in error is...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit error in the channel is 10-2 and that a string of 1000 bits is transmitted (a) Calculate the probability that more than three bit errors will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probability that more than three bit errors wil occur in the 1000 transmissions.
Prob.4 A...
4- A binary communication channel introduces a bit error in a transmission with 10 pts probability...
4- A binary communication channel introduces a bit error in a transmission with 10 pts probability 0.01. Let X be the number of errors in 10 independent transmissions. (a) Find the pmf of X if X takes on value in the set Sx-(1,2,3,4,53. (b) Find the mean, the mean square, and the variance of X. 10 t.
Question 19 Let X denote the number of bits received in error in a digital communication...
Question 19 Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial with p = 0.0003. If 1000 bits are transmitted, determine the following Round your answers to four decimal places (e.g. 98.7654) (a) P(X = 1) (b) P(X 2 1) (c) P(X s 2) (d) mean and variance of X. (d) Mean = variance =
A data packet is transmitted over a lossy wireless channel with packet error rate 0.3. Most...
A data packet is transmitted over a lossy wireless channel with
packet error rate 0.3. Most communication systems adopt
the Automatic Repeat reQuest (ARQ) protocol. That is, if a packet
is successfully (with probability 0.7) or unsuccessfully
(with probability 0.3) received, the receiver respectively
sends a one-bit ‘ACK’ or ‘NAK’ message (over a separate feedback
channel) to the transmitter. After receiving an ‘ACK’, the
transmitter will move on to the next packet transmission;
otherwise, the transmitter will re-transmit the same...
In a digital transmission channel, a focused study is conducted for the first 5 bits transmitted....
In a digital transmission channel, a focused study is conducted for the first 5 bits transmitted. The probability to receive the bits in error is equally likely. Determine the standard deviation in the counting of bits in error. Select one: a. 1.4 b.2.9 c.17 d. 2.1
I really need help to understand this Stochastic Models problem. Prob.4 A digital transmission system sends...
I really need help to understand this Stochastic
Models problem.
Prob.4 A digital transmission system sends strings of binarry (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit eror in the channel is 10-2 and that a string of 1000 bits is transmitted. (a) Calculate the probahility that more than three bit erars will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probhability that more than three...
3119A (Read-Cnly] Word The breaking strength of a fabric types A and B has been tested 4 times and found A 4.2,4.5, 3.8, 5.3 psi. B 53, 56, 60, 6.0 (A competing new fabric) Test the claim saying...
3119A (Read-Cnly] Word The breaking strength of a fabric types A and B has been tested 4 times and found A 4.2,4.5, 3.8, 5.3 psi. B 53, 56, 60, 6.0 (A competing new fabric) Test the claim saying average strength must be the same. Use X values with Cl, use Z/t values and use p values. State the conclusion with p values. Show calculations Answer! Question 4. A random experiment can result in one of the outcomes (a, b, c,...
Ps A random experiment can result in one of the outcomes (a b, dh with respective...
Ps A random experiment can result in one of the outcomes (a b, dh with respective probabilities of o2, 02, 05.0.1. Let A denote the event (a. b). B the event (b, c, d and C the event (d). 1) Find P(A U C. 2) P(A intersection B) Each sample of water has a 5% chance of containing a particular organic pollutant Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that...
15. Assume a three-bit message is to be transmitted. To clear the encoder two zero-bits are appen...
15. Assume a three-bit message is to be transmitted. To clear the encoder two zero-bits are appended after message. Thus 5 bits are fed into the encoder to produce 10 coded bits (codeword). Assume that the channel error probability is p-0.1. If we observe 10,01,10,11,00 in the receiver what is the most likely transmitted sequence? (Hint: use Viterbi algorithms) Received sequence10 01 10 10
15. Assume a three-bit message is to be transmitted. To clear the encoder two zero-bits are...
Let us consider the binary digital communication system in which bit 1 is represented by the...
Let us consider the binary digital communication system in which bit 1 is represented by the waveform Acos(ωt) of bit duration T, where ω is the carrier radial frequency and A is the constant amplitude. On the hand, the bit 0 is represented by the following waveform instead (A/10)cos(ωt). During the transmission the channel has introduced the uniform random phase shift Φ and transmitted waveform is affected by zero-mean white Gaussian noise of variance σ2. To demodulate, we perform the...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit error in the channel is 10-2 and that a string of 1000 bits is transmitted (a) Calculate the probability that more than three bit errors will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probability that more than three bit errors wil occur in the 1000 transmissions.
Prob.4 A...
4- A binary communication channel introduces a bit error in a transmission with 10 pts probability 0.01. Let X be the number of errors in 10 independent transmissions. (a) Find the pmf of X if X takes on value in the set Sx-(1,2,3,4,53. (b) Find the mean, the mean square, and the variance of X. 10 t.
Question 19 Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial with p = 0.0003. If 1000 bits are transmitted, determine the following Round your answers to four decimal places (e.g. 98.7654) (a) P(X = 1) (b) P(X 2 1) (c) P(X s 2) (d) mean and variance of X. (d) Mean = variance =
A data packet is transmitted over a lossy wireless channel with
packet error rate 0.3. Most communication systems adopt
the Automatic Repeat reQuest (ARQ) protocol. That is, if a packet
is successfully (with probability 0.7) or unsuccessfully
(with probability 0.3) received, the receiver respectively
sends a one-bit ‘ACK’ or ‘NAK’ message (over a separate feedback
channel) to the transmitter. After receiving an ‘ACK’, the
transmitter will move on to the next packet transmission;
otherwise, the transmitter will re-transmit the same...
In a digital transmission channel, a focused study is conducted for the first 5 bits transmitted. The probability to receive the bits in error is equally likely. Determine the standard deviation in the counting of bits in error. Select one: a. 1.4 b.2.9 c.17 d. 2.1
I really need help to understand this Stochastic
Models problem.
Prob.4 A digital transmission system sends strings of binarry (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit eror in the channel is 10-2 and that a string of 1000 bits is transmitted. (a) Calculate the probahility that more than three bit erars will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probhability that more than three...
3119A (Read-Cnly] Word The breaking strength of a fabric types A and B has been tested 4 times and found A 4.2,4.5, 3.8, 5.3 psi. B 53, 56, 60, 6.0 (A competing new fabric) Test the claim saying average strength must be the same. Use X values with Cl, use Z/t values and use p values. State the conclusion with p values. Show calculations Answer! Question 4. A random experiment can result in one of the outcomes (a, b, c,...
Ps A random experiment can result in one of the outcomes (a b, dh with respective probabilities of o2, 02, 05.0.1. Let A denote the event (a. b). B the event (b, c, d and C the event (d). 1) Find P(A U C. 2) P(A intersection B) Each sample of water has a 5% chance of containing a particular organic pollutant Assume that the samples are independent with regard to the presence of the pollutant. Find the probability that...
15. Assume a three-bit message is to be transmitted. To clear the encoder two zero-bits are appended after message. Thus 5 bits are fed into the encoder to produce 10 coded bits (codeword). Assume that the channel error probability is p-0.1. If we observe 10,01,10,11,00 in the receiver what is the most likely transmitted sequence? (Hint: use Viterbi algorithms) Received sequence10 01 10 10
15. Assume a three-bit message is to be transmitted. To clear the encoder two zero-bits are...
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