Question

When transmitting bits over a wireless transmission channel, the probability of bit error is p=1/2 (The...

When transmitting bits over a wireless transmission channel, the probability of bit error is p=1/2 (The occurrence of bit errors is independent.)

RV X is referred to as the number of errors in bit transmission,

S10 is the total number of error bits when sending 10 bits.

Find E[X], VAR[X], E[S10], and VAR[S10].

Homework Answers

Answer #1

P be the probability of bit error

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
When transmitting bits over a wireless transmission channel, the probability of bit error is p=1/2 (The...
When transmitting bits over a wireless transmission channel, the probability of bit error is p=1/2 (The occurrence of bit errors is independent.) RV X is referred to as the number of errors in bit transmission, S100 is the total number of error bits when sending 100 bits. Find a probability of [40<=S100<=60].
Given that the probability of error in the transmission of a bit over a communication channel...
Given that the probability of error in the transmission of a bit over a communication channel is p=10e-4 a) Compute the probability of error in transmitting a block of 1024 bits b) What is the probability of more than three errors in transmitting a block of 1000 bits? c) If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that...
Consider a noisy communication channel, where each bit is flipped with probability p (the probability that...
Consider a noisy communication channel, where each bit is flipped with probability p (the probability that a bit is sent in error is p). Assume that n−1 bits, b1,b2,⋯,b(n−1), are going to be sent on this channel. A parity check bit is added to these bits so that the sum b1+b2+⋯+bn is an even number. This way, the receiver can distinguish occurrence of odd number of errors, that is, if one, three, or any odd number of errors occur, the...
Exercise 5.6.4: Error-correcting codes and the probability of transmitting a message without errors (a) A communication...
Exercise 5.6.4: Error-correcting codes and the probability of transmitting a message without errors (a) A communication channel flips each transmitted bit with probability 0.02. The event that one bit is flipped is independent of the event that any other subset of the bits is flipped. A 100-bit message is sent across the communication channel and an error-correcting scheme is used that can correct up to three errors but expands the length of the message to 110 bits. What is the...
A binary communication channel transmits a sequence of "bits" (0s and 1s). Suppose that for any...
A binary communication channel transmits a sequence of "bits" (0s and 1s). Suppose that for any particular bit transmitted, there is a 15% chance of a transmission error (a 0 becoming a 1 or a 1 becoming a 0). Assume that bit errors occur independently of one another. (Round your answers to four decimal places.) (a) Consider transmitting 1000 bits. What is the approximate probability that at most 165 transmission errors occur? (b) Suppose the same 1000-bit message is sent...
There is a chance that a bit transmitted through a digital transmission channel is received in...
There is a chance that a bit transmitted through a digital transmission channel is received in error. Let X equal the number of bits in error in the next three bits transmitted. Suppose that the performed experiment on the entire population gives the probability distribution below, x 0 1 2 3 P(X=x) 0.656 0.292 0.049 0.003 Find a)The cdf of X, and graph it x < 0 0 ? x < 1 1 ? x < 2 2 ? x...
in a data network, packets containing 160 bits are transmitted over a channel with a error...
in a data network, packets containing 160 bits are transmitted over a channel with a error probability of 0.01. if a packet is received in error , i.e containing one or more bit errors, the receiver asks for retransmission. what is the average numbe rof transmissions per packet?
Data packets containing 64 bits are transmitted over a communication channel. A transmitted bit is received...
Data packets containing 64 bits are transmitted over a communication channel. A transmitted bit is received incorrectly with probability p=0.01. The packet is coded in such a way that bit error of 2 or less can be corrected. What is the probability that a packet is decoded correctly?
3. Each time a modem transmits one bit, the receiving modem analyzes the signal arrives and...
3. Each time a modem transmits one bit, the receiving modem analyzes the signal arrives and decides whether the transmitted bit is 0 or 1. It makes an error with probability p, independent of whether any other bit is received correctly. a) If the transmission continues until first error, what is the distribution of random variable X, the number of bits transmitted? b) If p = 0.1, what is probability that X = 10? c) what is probability that X...
Question 1 In communications let p denote the probability that a bit sent by the transmitter...
Question 1 In communications let p denote the probability that a bit sent by the transmitter will be received erroneously on the other end of the channel. A telecom company has determined that for a communication channel an error rate of p > 0.05 is unacceptable. To perform the test, a predetermined 32 bit long message is sent (this is a sample with n = 32) and the number of erroneous bits are counted at the receiving end. The number...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT