Pollution is one of the country's problems for many years now. If events Water Pollution is present A Water Sample was found polluted water is safe for fishing Assume P(A)= 0.30, P(B |A)= 0.75, P(B|A')=0.20, P(C|AnB)= 0.20, P(C|A'nB)=0.15, P(C|AnB')=0.80, and P(C|A'nB')=0.90 Find P(ANBNC)
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- True or false: a) When a process is in a state of statistical control, then most of the output will meet specifications. b) When a process is out of control, an unacceptably large proportion of the output will not meet specifications. c) When a process is in a state of statistical control, all the variation in the process is due to causes that are inherent in the process itself. d) When a process is out of control, some of the variation in the process is due to causes that are outside of the process.Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0 would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. Throughout calculating, and for the final answer, round to two decimals. ***Must show work on PDF for completing this computational table and for the following 9 questions*** Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29…Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0 would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. Throughout calculating, and for the final answer, round to two decimals. Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29 Switzerland 14 43 Laos 6 45 UK 58 35…
- Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0 would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. Throughout calculating, and for the final answer, round to two decimals. Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29 Switzerland 14 43 Laos 6 45 UK 58 35…A researcher wants to find the effect of a special diet on systolic blood pressure. A sample of 7 adults was selected to start them on this diet for 3 months. Based on this information, can it be stated that systolic blood pressure changes with the special diet? Based on the findings of the test carried out, it is possible to conclude that...... A. systolic blood pressure does not change with special diet B. systolic blood pressure changes with special diet C. systolic blood pressure is lower with the special diet D. systolic blood pressure is higher with the special diet E. It is not possible to conclude anything regarding systolic blood pressure with the special dietTrue/False Censoring occurs when the event of interest (e.g., disease status) is observed on every individual, usually due to time constraints. The incidence rate (IR), is computed by taking the ratio of the number of new cases of disease to the total number of person-time units available. The prevalence of a disease depends on the incidence of the disease as well as the duration of the disease.
- Gini coefficient is a statistic used to measure income inequality within nations. It ranges from 0 to 100, with higher scores indicating more inequality. At the extremes, a Gini score of 0would mean that everyone in the country earns the exact same income, and a Gini score of 100 would mean that only one person in the country earns all the income. Some people argue that the larger a nation is, the more difficult it is to maintain a fair distribution of incomes. In other words, does income inequality increase as population size increases? You can test this question by conducting a bivariate regression on the data in the table below. Throughout calculating, and for the final answer, round to two decimals. ***Must show work on PDF for completing this computational table and for the following 9 questions*** Country (1) X: Population (in millions) (2) Y: Gini Score (3) (4) (5) (6) (7) Sweden 8 27 Ethiopia 77 29…The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes. Define the approach that should be used to solve the problem and identify all your inputs of the model.The problem of traffic delay in a highway can be studied in the following way. Let us assume that the probability of no traffic delay in one period, given no traffic delay in previous period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the previous period is 0.75. The period of time is 30 minutes.1. Define the approach that should be used to solve the problem and identify all your inputs of the model6 2. Verify if one important assumption of the model should be questioned. Explain why.3. Assume that you are entering the traffic with your care in that highway and you receive a radio report of no traffic delay. What is the probability that for the next period there will be a delay.4. Assume that you are entering the traffic with your care in that highway and you receive a radio report of traffic delay. What is the probability that for the next hour there will be a delay. Use a tree diagram to answer the question.5. What is the probability…
- Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only 0.5% of the capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only 1% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston’s defective rate to be 10%. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 75,000 acceptable-quality capacitors to use…This cardiologist gets a report on his patients' sugar consumption from the nutritionist. He becomes concerned that his patients seem to consume even more sugar that what is in a typical American diet. He decides to take a random sample of 100 of his patients and calculate the mean sugar consumption, x̅, of these 100 patients. The mean sugar consumption for these 100 patients is 17.3 teaspoons. Let's assume, for the moment, that his patients are no different than the general population of Americans with µ (daily sugar consumption) = 16.1 teaspoons and σ = 3.5 teaspoons and that his sample of 100 patients is one random sample from this population. What is the probability of obtaining a mean sugar consumption of 17.3 teaspoons (or more) in his sample of 100 patients if his patients are similar to the general population? What is the probability that the average (x̅) is greater than 17.3?A building contains 1000 lightbulbs. Each bulb lasts at most five months. The company maintaining the building is trying to decide whether it is worthwhile to practice a “group replacement” policy. Under a group replacement policy, all bulbs are replaced every T months (where T is to be determined). Also, bulbs are replaced when they burn out. Assume that it costs $0.05 to replace each bulb during a group replacement and $0.20 to replace each burned-out bulb if it is replaced individually. How would you use simulation to determine whether a group replacement policy is worthwhile?