1-7.5 A communication network has five links as shown below. A 3 B The probability that each link is working is 0.9. What is the probability of being able to transmit a message from point A to point B?

1-7.5 A communication network has five links as shown below. A 3 B The probability that each link is working is 0.9. What is the probability of being able to transmit a message from point A to point B?

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

Related questions

Q: eaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8…

A: A man is not late at work if he is top by exactly one traffic light.

Q: An system consists of four components which are working independently. A has a reliability of 90%…

A: The entire system will work when A, B and either C or D works. Each component is independent to each…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: For independent events, the probability of happening of events simultaneously can be given the…

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

Q: certain dog can catch a properly thrown tennis ball with a probability of 0.95. unfortunately, this…

A: Given that, a certain dog can catch a properly thrown tennis ball with a probability of 0.95.…

Q: A person must pay $$8 to play a certain game at the casino. Each player has a probability of 0.06 of…

A: From the provided information, A person pay $8 to play a certain game at the casino. Each player has…

Q: Current flows through switches 1 and 2 to a lamp and back to the battery. Suppose the probability…

A: Given : the switch 1 is closed is 0.85, the probability that switch 1 is open = 1 - 0.85 = 0.15 the…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: Probability is a branch of mathematics or statistics that is basically deals with the probability of…

Q: A communication network consists of five links that interconnect four routers, as shown below. The…

A: Given: To find: The possible paths.

Q: A men is dealt 4 spade cards from an ordinary pack of 52 cards. If he is given three more cards,…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: Given Traffic light A Traffic light B Traffic light C P ( A ) P ( B ) P ( C ) 0.6 0.4…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: The given probability that he is stopped by each of the three traffic lights. The probabilities are…

Q: e route used by a certain motorist in commuting to work contains two intersections with traffic…

Q: The transportation network from City 1 to City 2 is shown below. At any timepoint, each road can get…

A: Reliability is the overall consistency of a measure. A measure is said to have a high reliability if…

Q: If a die is rolled, find the probabilities. D. Of getting a number of less than seven E.of getting a…

Q: A person must pay $$8 to play a certain game at the casino. Each player has a probability of 0.23 of…

A: Given info: A person must pay…

Q: big City rge. One- Ves the smail car to work large car. small car, he usually has little trouble…

A: Solution

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: Multiplication rule for independent events:If two events A and B are independent then the…

Q: Suppose that vehicles taking a particular highway exit can turn right (R) , turn left (L), or go…

A: Given problem Given that

Q: I. The smoke will not be detected by device CS200 given that it has detected by device WS500. II.…

A: HERE DEFINE EVENTS FROM GIVEN INFORMATION SMOKE will be detected by device CS200 = A smoke will be…

Q: Shannon owns two stocks: A and B. The probability that A will be profitable is 0.7. The probability…

Q: A manufacturer of bottles knows that 2% of its bottles are defected. If one selects 4 bottles…

A: Given Data : 2% of its bottles are defected One bottle is selected from 4…

Q: A person must pay $$8 to play a certain game at the casino. Each player has a probability of 0.1 of…

A: GivenCost to play a game =$8Probability of winning P(W)=0.1The amount player get after winning…

Q: The probability of component A in a computer assembly being faulty is 3%. The similar probability…

Q: I need answers for B, C. Three friends (A, B, and C) will participate in a round-robin tournament…

A: Provided information is ; P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 Calculation : Now…

Q: On any given weekend, the probability that John will go to the bar is 20%, whereas the probability…

A: Let us define some events A : John will go to the bar. B : John will go to hiking. It is given that…

Q: A person must pay $$8 to play a certain game at the casino. Each player has a probability of 0.15 of…

A: Given that A person must pay $8 a certain game at the casino. Each player has a probability of 0.15…

Q: Suppose that A, B and C are three independent events with P(A)=0.20 P(A interception B)= 0.08 and…

Q: a) Determine the empirical probability that the next boat rental is a sunfish. b) Determine the…

A: Total boats = 20 Sunfish=6 Kayak=10 Rowboat =4

Q: In a criminal trial in the United States, it must be proven that a defendant is guilty beyond a…

A: Event involves all the possible outcome of the experiment happening. If an event happen already…

Q: person must pay $$5 to play a certain game at the casino. Each player has a probability of 0.14 of…

A: Given Information: The probability distribution of X where X is the net gain or loss. Profit (X)…

Q: Two distinguishable dice are rolled and the numbers on top are ob- served. Consider the event E:…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Answer the following. If a die is rolled, find the probabilities. D. Of getting a number of less…

A: Sample space={1,2,3,4,5,6} n(S)=6 D. The probability of getting a number less than seven is obtained…

Q: The probability of Mark getting an offer from company A is 0.7, and the probability that he gets an…

A: here define Event A= Mark getting an offer from Company A B = Mark getting an offer from Company B…

Q: A students is going to graduate from a business department of a university by the end of the…

Q: A friend who works in a big city owns two cars, one small and one large. One-quarter of the time he…

A: Given Probability of taking small car=1/4 Probability of taking large car=3/4

Q: A person must pay $$6 to play a certain game at the casino. Each player has a probability of 0.16 of…

Q: A person must pay $$6 to play a certain game at the casino. Each player has a probability of 0.1 of…

A: From the given information,

Q: a) On a sunny day, what is the probability that Mason does not find a spot in Lot A? (b) In a week…

A: Solution: spot no spot sunny 0.7 0.3 rainy 0.4 0.6 a) as we can see from contigency…

Q: Ken is considering entering a local fishing tournament, but his choice to enter depends somewhat on…

A: Given:P(Ken wins | Billy enters) = 0.15P(Ken wins | Billy does not enter) = 0.40P(Billy enters) =…

Q: Sally and Mike are playing frisbee at the beach. When Sally throws the frisbee the probability is…

Q: Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to…

A: From the above missing data is : P (A) , P(B) & P(C) For the independent events , multiplication…

Question

But change the problem as follows: The probability that each link is working is 0.95. Also, if the message was transmitted successfully, what is the probability that the middle link was working? (Hint: Messages get sent through all three paths. At least one of the three paths must be successful in order for B to receive the message.)

1-7.5 A communication network has five links as shown below.
A
3
2
B
The probability that each link is working is 0.9. What is the probability of being able
to transmit a message from point A to point B?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: The probability of working path formula is; z=(x-mu)/sigma

VIEW

Step 2: The probability of working path formula is; z=(x-mu)/sigma

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. Traffic light A Traffic light B Traffic light C ?(?)P⁡(A) ?(?)P⁡(B) ?(?)P⁡(C) 0.6 0.4 0.9 What is the probability that the employee is not late for work? (Round to 3 decimal places)
Jay-Z has applied to both The School of Hard Knocks and The University of OG's. He thinks the probability that The School of Hard Knocks will admit him is 0.4, the probability that The University of OG's will admit him is 0.5, and the probability that both will admit him is 0.2. Creating a Venn Diagram is Helpful. What is the probability that Jay-Z gets into The School of Hard Knocks but not The University of OGʻs?
I need help with A, B, C. Three friends (A, B, and C) will participate in a round-robin tournament in which each one plays both of the others. Suppose that P(A beats B) = 0.2P(A beats C) = 0.4P(B beats C) = 0.7 and that the outcomes of the three matches are independent of one another. (a) What is the probability that A wins both her matches and that B beats C? and What is the probability that A wins both her matches? (b) What is the probability that A loses both her matches? (c) What is the probability that each person wins one match? (Hint: There are two different ways for this to happen.)
Solve it correctly and clear
Suppose that each time Bar-bie throws a dart, she has a 3/4 probability of getting a bullseye. If Barbie shoots three darts, what is the probability that she gets a bullseye on at least two of them?
In a town, there are three bridges: Bridge A, Bridge B, and Bridge C. On any given day, the probability of each bridge being open for passage is as follows: P(A) = 0.4, P(B) = 0.3, and P(C) = 0.5. If a resident needs to cross all three bridges in succession, what is the probability of successfully crossing all three bridges without encountering any closures?
Solve the following probabilty problem: Doris and her friend plan to travel to Florida during the winter intersession period. Based upon the past experience they know that the probability that they go by car is 0.4 and the probability that they go by plane is 0.2. What is the probability that they travel to Florida by car or plane only?
At a local restaurant, you are allowed to pick one side with your dinner. Because you can only choose one, your side choice is mutually exclusive of all the other sides to chose from. On any given day, there is a 0.34 chance you will pick an fries, and a 0.1 chance you will pick an veggies. Today, you do not pick an veggies; what is the probability you pick fries today?
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
Answer the following. If a die is rolled, find the probabilities. A. Of getting a 4 B. Of getting an even number C. Of getting a number greater than 4