The damage in a structure after an earthquake can be classified as either none, light, or heavy. For a new undamaged structure, the probabilities that it will suffer light and heavy damages after an earthquake are 2.5% and 1%, respectively. However, for an old structure with light damage from a previous earthquake, its probability of getting heavy damage during the next earthquake is 60%. (a) For a new structure, what is the probability that it will be heavily damaged after two earthquakes? Assume no repairs were done after the first earthquake. (b) If the structure is heavily damaged after two earthquakes, what is the probability that the structure was either undamaged or with light damage before the second earthquake?

The damage in a structure after an earthquake can be classified as either none, light, or heavy. For a new undamaged structure, the probabilities that it will suffer light and heavy damages after an earthquake are 2.5% and 1%, respectively. However, for an old structure with light damage from a previous earthquake, its probability of getting heavy damage during the next earthquake is 60%. (a) For a new structure, what is the probability that it will be heavily damaged after two earthquakes? Assume no repairs were done after the first earthquake. (b) If the structure is heavily damaged after two earthquakes, what is the probability that the structure was either undamaged or with light damage before the second earthquake?

Name: The damage in a structure after an earthquake can be classified as eit
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: The damage in a structure after an earthquake can be classified as either none, light, or heavy. For a new undamaged structure, the probabilities that it will suffer light and heavy damages after an earthquake are 2.5% and 1%, respectively. However,

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: You will take either a basket-weaving course or a philosophy course, depending on what your advisor…

Q: Suppose a county’s recent health report gives a pet allergy prevalence of 0.23 for kids. There is a…

A: Given: Probability of pet allergy prevalence, P(A)=0.23 kids Probability of no pet allergy…

Q: SITUATION 4 The damage in a structure after an earthquake can be classified as either none, light,…

Q: During a resort’s busy season, there is a 0.6 probability that a hurricane will affect sales…

A: Given , Number of months (n) = 3 Probability of a hurricane affecting sales negatively (p) = 0.6 Let…

Q: In a playoff series, the probability that team A wins over team B is 3/5, and the probability that…

A: Given information- We have given that in a playoff series- The probability that team A wins over…

Q: A company receives 30% of its shipments from source A and the rest from source B. For source A, the…

A: Let S1 denotes the event that a randomly selected shipment is from source A and S2 denotes the event…

Q: Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of…

A: Here, we have a table given. We are supposed to find the prbability that these parents have given…

Q: an architectural firm is putting out birds to design two large government buildings. suppose they…

A: The probability of getting the contract for the first building is 0.35.

Q: Every day, Rick either gains two pounds (with probability 1/2 ) or loses one pound (with probability…

A: Given that Every day, Rick either gains two pounds (with probability 1/2 ) or loses one pound (with…

Q: A food stand can sell either fruit juice or hot coffee on any given day. If the stand sells fruit…

A: Given: Hot Profit Cold Profit Fruit Juice 20,000 Fruit Juice 8,000 Hot coffee 15,000 Hot…

Q: In some situations, one event effects or alters subsequent events. In other situations, events are…

A: Given that In an experiment, you are comparing the percentages of right-handed batter to…

Q: The nursing department of a college surveyed two hundred graduates from their programs about their…

A: Given Data: P( bachelor's degree)=0.45 P( working in nursing)=0.85 P( in nursing and bachelors)=0.4

Q: It will rain is 0.45, then determine the probability that the project will not be completed on time.

A: Probability is how likely an event is to occur. It ranges between 0 and 1.

Q: In an insurance portfolio 10% of the policy holders are in Class A₁ (high risk), 40% are in Class A₂…

Q: During half-time of a basketball game there is a half-court shot competition. Three fans are chosen…

A: The first fan has a probability of making shot =0.15 The second fan has a probability of making shot…

Q: What is the probability that a buyer who purchases a box of bullets and firearm gets a submachine…

A: Here Given Probability of Personnel purchase Pistol=P(P)=0.85 Probability of Personnel purchase…

Q: A company is marketing a new video game. Market research indicates that 9% of the the market has…

A: Given Information: 9% of the the market has seen an advertisement for the new game. 28% of those…

Q: A company is introducing a new product into the market. If the sales are high, there is a 0.6…

A: To obtain the expected returns resulting from a single transition from state i given alternative k,…

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 zookeeper feeds a group of animals daily. On any given day, there is a 40% chance of feeding…

A: The probability of feeding bananas is 0.40.The probability of feeding apples is 0.30.The probability…

Q: Three airlines serve a small airport. Airline A has 55% of all scheduled flights, airline B has 33%…

Q: Construction company A is determining whether it should submit a bid for a new shopping center. In…

A: To find: a. If company A gets the job, what is the probability that company B did not bid? b. What…

Q: An engineering enterprise can make profits of (500,000$, 700,000$, 680,000$, 310,000$, 440,000$)…

A: Solution: Let X represent the amount of enterprise. The amount of X and their corresponding…

Q: The probability that a university graduate will be offered no jobs within a month of graduation is…

A: Let X=a graduate is offered no.of job offers X 0 1 2 3 P(X) 0.06 0.44 0.30 0.20

Q: At an electronics firm, it is known from past experience that the probability a new worker who…

Q: what would happen to a probability function if 4-sided dice were used.

A: Explanation:If it is possible to have a 4-sided dice, then rolling the die would give one of the…

Q: Suppose a county’s recent health report gives a pet allergy prevalence of 0.15 for kids. There is a…

A: Given data, P(Positive | Not have allergy)=0.07 P(Not have allergy)=1-0.15=0.85 P(Negative |…

Q: Every morning a math instructor picks out two socks completely at random from his closet; there's…

Q: Consider three classes (I, II and III) consisting of 30, 25, and 45 students. Suppose a student is…

A: Given information: There are 3 classes: I, II and III consists of 30, 25 and 45 students…

Q: Suppose Alice is deciding whether or not to go to a New York Giants game. Alice's enjoyment and thus…

A: p ( gaints lose and its snows ) is =?

Q: new oil filter is needed, what is the probability that the oil has to be changed?

A: Here use venn diagram

Q: Pretend you and your friend are gunners in a science fiction space game. You and your fellow gunner…

A: The success rate for the counter station is 10% and for the other is 20%.

Q: A group of friends plans to have a picnic in the park, but the weather forecast shows a 60% chance…

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

(a) For a new structure, what is the probability that it will be heavily damaged after two earthquakes? Assume no repairs were done after the first earthquake.

(b) If the structure is heavily damaged after two earthquakes, what is the probability that the structure was either undamaged or with light damage before the second earthquake?

Video Video

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given data,

Step 1

Step 2

Step 3

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Compute the…
A manufacturing company produces two types of smartphones, A and B. 30% of the smartphones produced are type A, while 70% are type B. The defect rate for type A smartphones is 2%, while the defect rate for type B smartphones is 4%. If a customer receives a defective smartphone, what is the probability that it is of type A? Show your calculations and reasoning.
The proprietor of Midland Construction Company has to decide between two projects. He estimates that the first project will yield a profit of $180,000 with a probability of 0.7 or a profit of $130,000 with a probability of 0.3; the second project will yield a profit of $220,000 with a probability of 0.7 or a profit of $80,000 with a probability of 0.3.Find the expected profit for each project. first project $ second project $
A company is introducing a new product into the market. If the sales are high, there is a 0.6 probability that they will remain so next month. If they are not, the probability that will become high next month is only 0.1. The company has the option of launching an advertisement campaign. If it does and the sales are high, the probability that they will remain high next month will increase to 0.7. On the other hand, an advertising campaign while the sales are low will raise the probability to only 0.3. If no advertisement is used and the sales are high, the returns (in thousands of dollars) are expected to be 9 if the sales remain high next month and 3 if they do not. The corresponding returns if the product starts with low sales are 6 and -3. Using advertisement will result in returns of 8 if the product starts with high sales and continues to be so and 5 if it does not. If the sales start low, the returns are 4 and -6, depending on whether or not they remain high. Obtain the…
In a certain town, 20% of the population owns a car, 30% owns a bicycle, and 50% owns neither. If a resident of the town is selected at random, what is the probability that they own both a car and a bicycle? Is it possible for the probability to be negative or greater than 1? How would the probabilities change if the town's population was doubled while keeping the same proportions of car and bicycle ownership?
In automotive repair, experience has shown that a rough - running engine can be attributed to the bad ignition wires 35% of the time, bad spark plugs 80% of the time, and both problems 20% of the time. Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find them to be bad. Given this information, what is the probability that the wires are also bad?
Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. Second Parent First Parent Ss sS P(child has sickle cell anemia) =| (Type an integer or a simplified fraction.)
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (22)%, and (13)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2?
A door-to-door salesman expects to make a sale 21% of the time when starting the day. But making a sale increases his enthusiasm so much that the probability of a sale to the next customer is 0.32. If he makes no sale, the probability for a sale to the next customer stays at 0.21. What is the probability that he will make at least two sales with his first three visits?
The proprietor of Midland Construction Company has to decide between two projects. He estimates that the first project will yield a profit of $160,000 with a probability of 0.7 or a profit of $120,000 with a probability of 0.3; the second project will yield a profit of $220,000 with a probability of 0.6 or a profit of $70,000 with a probability of 0.4.Find the expected profit for each project. first project $ second project $ Which project should the proprietor choose if he wants to maximize his expected profit? first project second project
Brian, a landscape architect, submitted a bid on each of three home landscaping projects. He estimates that the probabilities of winning the bid on Project A, Project B, and Project C are 0.7, 0.5, and 0.2, respectively. Assume that the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will experience the following. (a) Win all three of the bids (b) Win exactly two of the bids (c) Win exactly one bid
A gas station has three grades of fuel, regular, premium and diesel. Due to problems with the supply chain, the probabilities that the station will run out of any three fuel types in a week are 0.10, 0.16 and 0.24, respectively. These probabilities are statistically independent. Also, if there is a shortage of diesel, the probability of a shortage of premium becomes 0.25. 1. How likely is the station to run out of all three fuels in a given week? 2. What is the probability that if regular runs out, both premium and diesel will also run out? 3. What is the probability that the station will run out of at least one of either premium and diesel? 4. What is the probability that the station will run out of at least 2 of the fuels in a week?