2. You operate a polar research station; every morning, you send a radio message indicating which way the wind is blowing. The wind is likely to blow in any of 4 directions, which you indicate with the codewords "000", "110", "101", and "011". Due to the extreme weather, each bit (0 or 1) of the message independently has a chance of being flipped in transit: 1 changed to 0 or vice versa. What is the probability that when you send your message, the recipient receives "111" on their end?

2. You operate a polar research station; every morning, you send a radio message indicating which way the wind is blowing. The wind is likely to blow in any of 4 directions, which you indicate with the codewords "000", "110", "101", and "011". Due to the extreme weather, each bit (0 or 1) of the message independently has a chance of being flipped in transit: 1 changed to 0 or vice versa. What is the probability that when you send your message, the recipient receives "111" on their end?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

which of the following is correct answer?
Which of the following could be the number of players on each team?
please type neatly and show where answer goes, thank you!
I have a question on #46.
One morning Dave an email message to Alvin that said the following: “You are one of my dearest friends. If you care about me, send a copy of this letter to two of your dearest friends tomorrow. If you do not break this chain, you will live long and prosper.” Alvin followed the directions: the next day he sent a copy of the message to two of his dearest friends. The following day, each of the recipients did the same. Count the day Dave sent the original message as the first day, and assume the chain is unbroken. A. How many copies of the message will be sent on the sixth day? B. Find the n-rule that will show how many copies of the message will sent on the n-th day.
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. Which of the following describes a matched pairs design? They recruit 50 people who run on a regular basis to participate in their study. They will have the runners wear the shoes when they run for two months. After two O The subjects are numbered 1-50, and these numbers are put into a random number generator. The first 25 random numbers, ignoring repeats, represent the subjects assigned to the new model group. The remaining 25 subjects will wear the original model. months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The subjects' names are written on equal-sized slips of paper and placed into a hat. A researcher then reaches in and pulls out 25 slips of paper. These subjects are assigned to the new model group. The remaining 25 subjects will be…
A. Sam's times varied more over the season that Mike's times. B. Sam's times varied about the same over the season as Brett's times. C. Brett's times varied more over the season than Mike's times. D. Mike's times varied more over the season than Brett's times.
QUESTION 9 Solve the problem. A signal is made by placing 3 flags, one above the other, on a flag pole. If there are 9 diferent flags available, how many possible signals can be flown? O 729 504 84 27 S0000