1) Compute the reliability of the bridge system as shown in Figure 1. If the component reliability is R₁ = R₂ =···=R5=0.95, respectively. 1 5 3 2 4 Figure 1 Reliability block diagram for the bridge system
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- Alcohol use in the United States increased during the first year of the COVID pandemic, as did the number of alcohol-induced deaths (such as alcoholic liver disease, accidental alcohol poisoning, disorders due to acute intoxication). Here is a figure from the CDC representing the "Rates of alcohol-induced deaths in the United States in 2020, broken down by sex and age group." Figure 2. Rates of alcohol-induced deaths, by sex and age group: United States, 2020 Age group (years) Under 25 0.1 25-34 35-44 45-54 55-64 65-74 75-84 85 and over Under 25 25-34 35-44 45-54 55-64 65-74 75-84 85 and over 0 0.3 3.9 2.9 6.4 10.2 7.9 10 12.9 12.8 16.7 20 21.0 21.8 24.5 Female Male 38.5 SOURCE: National Center for Health Statistics, National Vital Statistics System, Mortality. I 40 43.4 30 Deaths per 100,000 population 50 59.0 I 60 70 Interpret the bottom-most bar (gray bar with the value "12.8" written next to it) as a sentence in context. Enter your answer here Select ALL correct interpretations of…Customers arrive at a milk booth for the required service. Assume that the inter-arrival and service times are constant and are given by 1.2 and 3 time units, respectively. Simulate the system by hand computations for 18 time units. Assume that the system starts at t=0.i. What is the average waiting time per customer?ii. What is the average waiting time per customer for those who must wait?iii. What is the percentage idle time of the facility?The deadly Ebola virus is a threat to both people and gorillas in Central Africa. An outbreak in 2002 and 2003 killed 91 of the 95 gorillas in seven home ranges in the Congo. To study the spread of the virus, measure "distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and time in number of days until deaths began in each later group. (Data set may be found here.) Distance 1 3 4 4 4 5 Time 4 21 33 41 43 46 (a) Make a scatterplot. Which is the explanatory variable? distance time either distance or time Correct: Your answer is correct. What kind of pattern does your plot show? There is a strong positive linear association between distance and time. There is a strong negative linear association between distance and time. There is little to no association between distance and time. Correct: Your answer is correct. ( b) Find the correlation r between distance and time. (Round your answer to four decimal places.) (c)…
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- A paper company has about 50 paper mills distributed over 3 provinces. Each mill records specified factors that contribute to its profitability. The company has classified the mills as Profitable and Non- Profitable. They recorded paper weight produced as an indicator of profitability. That is, X₁ = PAPER (weight in 10000 kilograms) Y = PROF (1 = profitable and 0 = not profitable) Y Profitable 1 1 0 It was found that Paper 2 1.5 0.8 ît= exp(-2.94 + 0.098X₁) 1 + exp(-2.94 +0.098X₁) 1. Give the fitted logistic response function. 2. Give the fitted logit response function 3. Show that ft loge € (₁^²) = = -2.94 + 0.098X₁ 4. Give the odds to be used of this logistic regression for X₁ = 0.7. Explain your result. 5. What is the estimated probability that a mill be profitable if it produces 7 000 kilograms of paper? 7. Interpret the regression coefficients of ît= Also find the odds ratio for b₁. exp(-2.94 + 0.098X₁) 1 + exp(-2.94 +0.098X₁)An alloy manufacturer is investigating if they can improve the strength of one of their alloysby producing it at a lower temperature. To investigate that, they produce the alloy at twodifferent temperatures (high and low) and then measure the breaking strength of randomsamples of specimens from each. The following table represents the strength of the randomsamples at the higher and lower temperature, in units of 0.001-inch deflection. Temp. Strength (0.001 inch)High 87 64 66 85 76 49 97 73 75 77 69 68 89 27 58 84Low 88 82 81 85 79 80 88 78 77 85 79 76 Do the results support the hypothesis that lowering the production temperature can improve thestrength of the alloy, with 95% confidence? (Hint: Don’t forget investigating variances. Use 98% confidence for that.)Ernesto is a web developer who is looking to determine which of two types of advertisements are the most cost effective. He suspects that advertisements with animations generate more clicks than advertisements without animations but wants to confirm his intuition before he starts recommending advertisements with animations to his clients. Ernesto creates advertisements with animations for 12 different products and then creates advertisements without animations for those same products. Then he measures the click-through rate for those advertisements. The data are provided below (given as percentages of total visitors to the site who clicked on the advertisement). Assume that the conditions required for this hypothesis test are satisfied. Use a calculator to test the paired data, where α=0.01. Compute the sample differences d using d=Without−With. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between…