A crucial pumping process in a power plant issafely designed in a more conservativeapproach so that 3 pumps connected inparallel work one at a time. In this feature, theprobability that the pumping system operatesis larger than the probability that any of thethree pumps operates, failing only if all threepumps fail to function. Consider a situationwherein the probabilities of each pump tooperate are as follows: Pump 1 – 95%, Pump 2- 80%, Pump 3 – 90%. What is the probabilitythat the system does not fail?Select the correct response.:none of these99.9%88.3%68.4%

Probability is the chance of occurrence observation favorable to enter in the sample or event. Where…

Answered: A crucial pumping process in a power…

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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In an amusement arcade there is a horse race with horses coloured red, yellow and green. Only one player can play this game at any time and the outcomes of each race are independent of previous races. You can either bet 10p or 20p. If you bet 10p then each horse is equally likely to win. If you bet 20p the corresponding probabilities are 50%, 30% and 20%, respectively. Three times as many people bet 10p as do 20p. Given red wins, what is the probability it had been a 20p bet? 0.333 0.300 0.313 0.298
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 $
Assume the chances of failure of each component is given in Figure. What is the probability that the system would not work? .
A store specializing in mountain bikes is to open in one of two malls. If the first mall is selected, the store anticipates a yearly profit of $1,425,000 if successful and a yearly loss of $475,000 otherwise. The probability of success is 1. If the second mall is selected, it is estimated that the yearly profit will be $950,000 if successful; 3 otherwise, the annual loss will be $285,000. The probability of success at the second mall is Complete parts (a) through (c) below 4 - a. What is the expected profit for the first mall?
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
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
Two machines turn out all the paper bags produced in the plant. Machine A produces 38% of the bags and machine B produces 62% of the bags. Machine A produces defective bags 1.9% of the time and machine B produces defective bags 3.8% of the time. Given a defective bag, what is the probability that it came from machine B?
Both flu and covid produce fevers. You know from past research that 10% of the population gets flu each year, but it is possible to get both covid and flu. Assume that the probability of getting flu and covid are independent. If this year the percentage of people reporting fever is 20%, what percentage of the population has covid? Studies show that due to similar transmission of flu and covid, someone who has covid has a 20% chance of also getting flu. What then is the probability of someone who has flu also having covid? Given the conditional information above, what is a better estimate of the percentage of people who have covid given the 20% fever reporting?
Global Airlines operates two types of jet planes: jumbo and ordinary. Of Global's air fleet, 40% of its capacity is provided on jumbo jets. Global serves two types of customers, business and tourist. Business customers are 70% of Global customers, while tourists make up 30%. 15% of Global's customers fly on jumbo jets and are tourists. What is the probability that a customer is a tourist and flies on a regular jet?
In a certain community, eight percent of all adults over age 50 have diabetes. If a health service in this community correctly diagnosis 95% of all persons with diabetes as having the disease and incorrectly diagnoses ten percent of all persons without diabetes as having the disease, find the probabilities that: The health service will diagnose an adult over age 50 as having diabetes. A person over 50 diagnosed by the health service as having diabetes actually has the disease.
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?

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