SITUATION 4The damage in a structure after an earthquake can be classified as either none, light, or heavy. For a newundamaged structure, the probabilities that it will suffer light and heavy damages after an earthquake are 20%and 5%, respectively. However, for an old structure with light damage from a previous earthquake, itsprobability of getting heavy damage during the next earthquake is 50%.(a) For a new structure, what is the probability that it will be heavily damaged after two earthquakes? Assumeno repairs were done after the first earthquake.(b) If the structure is heavily damaged after two earthquakes, what is the probability that the structure waseither undamaged or with light damage before the second earthquake?

Answered: Image /qna-images/answer/11b244ab-943b-491e-b109-a6f67d0ab067.jpg

Answered: SITUATION 4 The damage in a structure…

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...

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A person rides uber 30% of the time, her roommate gives her a ride 30% of the time and she rides with her mom 40% of the time. She is late 10% of the time with her roommate she is late 3% of the time when she rides uber and 7% of the time when she rides with her mom. What is the probability that she wil be on time if she rides with her roommate?
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?
Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of economic growth and a 40%40% chance of recession. The probability of discovering oil is 44%44% when there is economic growth and 32%32% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%.10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%.50%. If they do not discover oil, the land will decrease in value by 75%.75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations. $$ Select the correct interpretation of the expected value. The expected value represents what the actual investment value will be for this land purchase of $10,000,000. The company should make the investment because the expected value…
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
3. You get a haircut from Barber Shop 1 30% of the time and Barber Shop 2 70% of the time. Barber Shop 1 gives a good haircut 80% of the time and a bad haircut 20% of the time while Barber Shop 2 gives a good haircut 90% of the time and a bad haircut 10% of the time. For any given haircut, the probability that it is a bad haircut from Barber Shop 1 is Barber Shop 2 is and the probability that it is a good haircut from O.06; .63 .2; .73 O.06; .73 .2; .63
Problem (2): TV or a DVR? A consumer electronics company has observed that 36% of their customers purchased an LED screen television, 26% of their customers purchases a DVR, and 12 percent of their customers purchased both an LED screen TV and a DVR. Find the probability that a randomly chosen customer either purchases a plasma screen TV or a DVR.
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?
If Johnny plays Russian Roulette twice, by spinning a revolver containing one bullet in one of the six chambers between each shot, what is the probability he doesn't shoot himself either time?
You are an analyst for a consumer products company. You run a survey of 1000 customers and find that 80% of customers use gel packs for laundry detergent (the rest use liquid or powder) and 40% of customers use gel packs for their dishwasher detergent (the rest use liquid or powder). You also learn that twice as many customers use laundry detergent than dishwasher detergent.

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