In order to improve the signal transmitted reliablity the

Assignment Help Basic Statistics

Reference no: EM13641004

1. When an engineer wants to send a binary signal (a 0 or 1 signal) through a communication channel, assume that there is a 10% chance that the wrong signal is recieved, that is, if the transmitted signal is a 1, then there is a 10% chance that the signal is a 0; while if the transmitted signal is a 0, then there is a 10% chance that the signal recieved is a 1.

In order to improve the signal transmitted reliablity, the signal to be transmitted will be sent five independent times to the reciever. The reciever will then interpret the signal to be a 1 if he/she recieves at least three 1's among the five transmissions, while he/she will interpret the signal to be a 0 if he/she recieves at least three 0's among the five transmissions.

(a) With the systme, what is the probability of getting the correct signal?

(b) Suppose you wanted to achieve at least 0.999999 reliability for your communication system. Denote by n the odd number of times that you will be transmitting your signal (in the proceding we took n=5), and assume that you will interpret the signal to be a 1 if you recieve at least (n+1)/2 1's among the n transmitted signals and 0 otherwise. What is the appropriate value of n?

Reference no: EM13641004

Questions Cloud

In a sample of 108 toddlers the average height was found to : in a sample of 108 toddlers the average height was found to be 36.5 inches with a standard deviation of 1.1give a point

The heat capacity for a bomb calorimeter is : the heat capacity for a bomb calorimeter is 10.30kjdegreec.calculate the heat of combustion of one gram of almond

What is the probability that the coin will land heads on : a coin is tossed three times.1. what is the probability that the coin will land heads at least twice?2. what is the

A fair coin is tossed 8 times what is the probability that : a fair coin is tossed 8 times.a what is the probability that the sequence httt occurs at least once in the 8 tosses?b

In order to improve the signal transmitted reliablity the : 1. when an engineer wants to send a binary signal a 0 or 1 signal through a communication channel assume that there is

If 0145g of this metal carbonate reacts completely with125l : group 2a metal carbonates can react with hydrochloricacideaccording to the overall reactionm?co3s

A very long uniform line of charge has charge per unit : a very long uniform line of charge has charge per unit length 4.7410-6 cm and lies along the x-axis. a second long

Build a 90 confidence interval for the population standard : the following sample of heights was taken from 7 cans off the assembly line12.9 12.9 12.8 12.9 13.4 13.2 12.6build a 90

A piece of metal of mass 12 g at 107 c is placed in a : a piece of metal of mass 12 g at 107 ?c is placed in a calorimeter containing 55.7 g of water at 20?c. the final

User Account

All Pages