Question: An electronic message consists of a string of bits (0s and 1s). The message must pass through two relays before being received. At each relay

An electronic message consists of a string of bits (0s and 1s). The message must pass through two relays before being received. At each relay the probability is 0.1 that the bit will be reversed before being relayed (i.e., a 1 will be changed to a 0, or a 0 to a 1). Find the probability that the value of a bit received at its final destination is the same as the value of the bit that was sent.

Step by Step Solution

★★★★★

3.41 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let A be the event that the bit is reversed at ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

944-M-S-P (8450).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A message consists of a string of bits (0s and 1s). Due to noise in the communications channel, each bit has probability 0.3 of being reversed (i.e., a 1 will be changed to a 0 or a 0 to a 1). To...

In pulse- code modulation (PCM), a PCM word consists of a sequence of binary digits (bits) of 1s and 0s. (a) Suppose the PCM word length is n bits long. How many distinct words are there? (b) If each...

An encryption-decryption system consists of three elements: encode, transmit, and decode. A faulty encode occurs in 0.5% of the messages processed, transmission errors occur in 1% of the messages,...

An electronic message consists of a string of bits (0s and 1s). The message must pass through two relays before being received. At each relay the probability is 0.1 that the bit will be reversed...

A transmitter is sending a message by using a binary code, namely, a sequence of 0's and 1's. Each transmitted bit (0 or 1) must pass through three relays to reach the receiver. At each relay, the...

Solve the following in java: Background Images and other electronic data often contain parity bits. These bits (which can be 0 or 1) are not part of the original data, but instead are used for error...

94. A transmitter is sending a message by using a binary code, namely, a sequence of 0s and 1s. Each transmitted bit (0 or 1) must pass through three relays to reach the receiver. At each relay, the...

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Read the article, Going Private Again Is All the Rage Among Newly Public Companies. After reading the article, write one paragraph that interest you in the article

Consider a Poisson random variable with = 3.5. Use the Poisson formula to calculate the following probabilities: a. P(x=0) b. P(x=1) c. P(x$leq$2)

23. LO.9 Your client, HillTop, is a retailer of womens clothing. It has increased sales during the holiday season by advertising gift cards for in-store and online use. HillTop has found that gift...

Consider the ARMA(1,1) model described by yt = 095yt 1 +08 t 1+ t with t N(01) for all t (a) Show that the one-step-ahead truncated forecast is given by yt t+1 = 095yt + 08 t t with t t computed...

A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 200 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb...

A catalyst researcher states that the diameters, in microns, of the pores in a new product she has made have the exponential distribution with parameter = 0.25. a. What is the mean pore diameter? b....

A system consists of two components connected in series. The system will fail when either of the two components fails. Let T be the time at which the system fails. Let X1 and X2 be the lifetimes of...

Your bank is considering a new check clearing machine to automate the clearing house function. The cost of the new machine and installation is $250000. Check Clearing Machine Installed 1 Initial cost...

show step by step Bill makes deposits of $1000 at time 0 , and $X ant time 3. The fund grows at a force of interest t= 0.01t2,t>0. The amount of interest earned from time 3 to time 6 is $X. Calculate...

number 27 attached image AutoSave Off data-8_3_2021-9_06 PM - Protected View File Home Insert Draw Page Layout Formulas Data Review i PROTECTED VIEW Be careful-files from the Internet can contain...